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A134232 A007318 * M, where M = triangle in which row n consists of n-1 zeros followed by 2n-1, n+1. +0
2
1, 2, 2, 3, 7, 3, 4, 15, 14, 4, 5, 26, 38, 23, 5, 6, 40, 80, 75, 34, 6, 7, 57, 145, 185, 129, 47, 7, 8, 77, 238, 385, 364, 203, 62, 8, 0, 9, 100, 364, 714, 854, 644, 300, 79, 9, 10, 126, 528, 1218, 1764, 1680, 1056, 423, 98, 10 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = A048474: (1, 4, 13, 37, 97, 241, 577,...).

FORMULA

Binomial transform of an infinite lower triangular matrix with rows = (n-1) zeros followed by (2n-1), (n+1). A007318 * an infinite lower triangular matrix with (1,2,3,...) in the main diagonal, (1,3,5,...) in the subdiagonal, and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1;

2, 2;

3, 7, 3;

4, 15, 14, 4;

5, 26, 38, 23, 5;

6, 40, 80, 75, 34, 6;

7, 57, 145, 185, 129, 47, 7;

...

CROSSREFS

Cf. A048474.

Adjacent sequences: A134229 A134230 A134231 this_sequence A134233 A134234 A134235

Sequence in context: A060631 A096100 A021451 this_sequence A123934 A051301 A002583

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 14 2007

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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