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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,803
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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)*

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

That second number should be 12 not 11.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
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Oh.

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

48 is the next number.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,803
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Good. Next pattern soon!

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**berliner****Member**- Registered: 2013-04-02
- Posts: 69

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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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,803
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Don't know. Maybe you should post it in "Berliner's number 1", or something

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**berliner****Member**- Registered: 2013-04-02
- Posts: 69

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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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
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In the OEIS again.

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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**berliner****Member**- Registered: 2013-04-02
- Posts: 69

It's one of my sequence

Mathematichs is the queen of sciences - C. F. Gauss

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

Continue this sequence and find the general form:

1,2,3,4,5,6,7,8,...

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

Did you check the OEIS?

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

It could be a new sequence. I would like very much to see a few more terms. Can you compute them?

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

Okay, thanks for the help.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

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.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

Hmmm, now you are talking. Let's have a few more of em and we are in business.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

Do you want just the terms or the reccurence?

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

Hi;

The recurrence? Of course, provide it!

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

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.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,469

The tensor operator does what here?

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

It represents the xor operation.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Okay, exclusive or. The next looks like a binary representation?

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 14,813

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.

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