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Search: id:A131049
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A131049 (1/4) * (A007318^3 - A007318^(-1)). +0
4
1, 2, 2, 7, 6, 3, 20, 28, 12, 4, 61, 100, 70, 20, 5, 182, 366, 300, 140, 30, 6, 547, 1274, 1281, 700, 245, 42, 7, 1640, 4376, 5096, 3416, 1400, 392, 56, 8, 4921, 14760, 19692, 15288, 7686, 2520, 588, 72, 9 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = powers of 4: (1, 4, 16, 64,...). Left border = A015518: (1, 2, 7, 20, 61, 182,...).

FORMULA

(1/4) * (P^3 - 1/P), where P = Pascal's triangle, A007318. Delete right border of zeros.

EXAMPLE

First few rows of the triangle are:

1;

2, 2;

7, 6, 3;

20, 28, 12, 4;

61, 100, 70, 20, 5;

182, 366, 300, 140, 30, 6;

547, 1274, 1281, 700, 245, 42, 7;

...

CROSSREFS

Cf. A015518, A007318, A131047, A131048, A131050, A131051.

Sequence in context: A011146 A058625 A006748 this_sequence A126851 A064288 A054085

Adjacent sequences: A131046 A131047 A131048 this_sequence A131050 A131051 A131052

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 12 2007

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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