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A134395 A007318 * A077028. +0
2
1, 2, 1, 4, 4, 1, 8, 12, 6, 1, 16, 32, 23, 8, 1, 32, 80, 72, 37, 10, 1, 64, 192, 201, 132, 54, 12, 1, 128, 448, 522, 405, 216, 74, 14, 1, 256, 1024, 1291, 1128, 723, 328, 97, 16, 1, 512, 2304, 3084, 2941, 2154, 1191, 472, 123, 18, 1, 1024, 5120, 7181, 7316, 5920 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = A134396: (1, 3, 9, 27, 80, 232, 656,...).

FORMULA

A007318 * A077028 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

4, 4, 1;

8, 12, 6, 1;

16, 32, 23, 8, 1;

32, 80, 72, 37, 10, 1;

...

MAPLE

A007318 := proc(n, k) binomial(n, k) ; end: A077028 := proc(i, j) if j <= i then (i-j)*(j-1)+1 ; else 0 ; fi ; end: A134395 := proc(n, m) add(A007318(n, k)*A077028(k+1, m+1), k=0..n) ; end: for n from 0 to 15 do for m from 0 to n do printf("%d, ", A134395(n, m)) ; od: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008

CROSSREFS

Cf. A077028, A134396.

Sequence in context: A131249 A048807 A134397 this_sequence A038207 A065109 A113988

Adjacent sequences: A134392 A134393 A134394 this_sequence A134396 A134397 A134398

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 23 2007

EXTENSIONS

Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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