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#1 2013-04-14 18:19:43
- mathaholic
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Julianthemath's number 3
This is my third version of the Julianthemath number (since Nehushtan got the rule of my sequence).
It is the sum of 2 consecutive square numbers, and 2 consecutive triangular numbers, minus the 2 square roots and 2 triangular roots. Here, for simplification :
S = Square
SR = Square Root
T = Triangular
TR = Triangular root
This is also called the : Squmintrius number (complex, right? 
)
Examples :
1. ( (1+4)-(1+2) ) + ( (1+3)-(1+2) )
( 5 - 3 ) + ( 4 - 3 )
2 + 1
3, a Squimintrius number
2. ( (4+9)-(2+3) ) + ( (3+6)-(2+3) )
( 13 - 5 ) + ( 9 - 5 )
8 + 4
12
3. ( (9+16)-(3+4) ) + ( (6+10)-(3+4) )
( 25 - 7 ) + ( 16 - 7 )
18 + 9
27
So, the Squimintrius sequence is : 3, 12, 27... So, what's the pattern here?
Last edited by julianthemath (2013-04-14 19:05:29)
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#2 2013-04-14 18:48:38
- bobbym
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Re: Julianthemath's number 3
That second number should be 12 not 11.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2013-04-14 19:04:34
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Re: Julianthemath's number 3
Oh.
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#4 2013-04-14 19:16:01
- bobbym
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Re: Julianthemath's number 3
48 is the next number.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2013-04-14 19:18:42
- mathaholic
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Re: Julianthemath's number 3
Good. Next pattern soon!
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#6 2013-04-14 20:10:24
- berliner
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Re: Julianthemath's number 3
How about this sequence:
-2, -1, 8, 31, 74, 143, 244, 383, 566, 799...
Guess the pattern.
Mathematichs is the queen of sciences - C. F. Gauss
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#7 2013-04-14 20:25:47
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Re: Julianthemath's number 3
Don't know. Maybe you should post it in "Berliner's number 1", or something
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#8 2013-04-14 20:30:47
- berliner
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Re: Julianthemath's number 3
Thanks. By the way the formula was:
a(n) = n^3-2n^2-1
Mathematichs is the queen of sciences - C. F. Gauss
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#9 2013-04-14 21:23:36
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Re: Julianthemath's number 3
In the OEIS again. 
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#10 2013-04-14 21:33:04
- berliner
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Re: Julianthemath's number 3
It's one of my sequence
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#11 2013-04-15 06:27:23
- anonimnystefy
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Re: Julianthemath's number 3
Continue this sequence and find the general form:
1,2,3,4,5,6,7,8,...
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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#12 2013-04-15 06:58:05
- bobbym
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Re: Julianthemath's number 3
Did you check the OEIS?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2013-04-15 07:16:28
- anonimnystefy
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Re: Julianthemath's number 3
There are many possible answers that OEIS gives. But not all are the ones I am looking for.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#14 2013-04-15 07:19:30
- bobbym
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Re: Julianthemath's number 3
It could be a new sequence. I would like very much to see a few more terms. Can you compute them?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#15 2013-04-15 07:33:36
- anonimnystefy
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Re: Julianthemath's number 3
I am sure it is not new.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#16 2013-04-15 07:39:55
- bobbym
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Re: Julianthemath's number 3
Okay, thanks for the help.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#17 2013-04-15 07:49:48
- anonimnystefy
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Re: Julianthemath's number 3
This one:
1,5,4,22,26,86,...
on the other hand, is a new one. Or at least is not in the OEIS.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#18 2013-04-15 07:55:30
- bobbym
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Re: Julianthemath's number 3
Hmmm, now you are talking. Let's have a few more of em and we are in business.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#19 2013-04-15 08:21:32
- anonimnystefy
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Re: Julianthemath's number 3
Do you want just the terms or the reccurence?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#20 2013-04-15 08:23:50
- bobbym
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Re: Julianthemath's number 3
Hi;
The recurrence? Of course, provide it!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#21 2013-04-15 08:40:48
- anonimnystefy
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Re: Julianthemath's number 3
It is kinda unusual, though.
Last edited by anonimnystefy (2013-04-15 08:41:37)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#22 2013-04-15 08:47:31
- bobbym
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Re: Julianthemath's number 3
The tensor operator does what here?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#23 2013-04-15 08:50:53
- anonimnystefy
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Re: Julianthemath's number 3
It represents the xor operation.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#24 2013-04-15 08:56:17
- bobbym
- bumpkin
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Re: Julianthemath's number 3
Okay, exclusive or. The next looks like a binary representation?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#25 2013-04-15 09:54:09
- anonimnystefy
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Re: Julianthemath's number 3
Yes, that is what it is.
You can replace it with this:
Last edited by anonimnystefy (2013-04-15 09:57:54)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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