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A055372 Invert transform of Pascal's triangle A007318. +0
5
1, 1, 1, 2, 4, 2, 4, 12, 12, 4, 8, 32, 48, 32, 8, 16, 80, 160, 160, 80, 16, 32, 192, 480, 640, 480, 192, 32, 64, 448, 1344, 2240, 2240, 1344, 448, 64, 128, 1024, 3584, 7168, 8960, 7168, 3584, 1024, 128, 256, 2304, 9216, 21504, 32256, 32256, 21504, 9216 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Triangle T(n,k), 0<=k<=n, read by rows, given by [1, 1, 0, 0, 0, 0, 0, 0, 0, ...] DELTA [1, 1, 0, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938 . - DELEHAM Philippe (kolotoko(aT)lagoon.nc), Aug 10 2005

LINKS

N. J. A. Sloane, Transforms

Index entries for triangles and arrays related to Pascal's triangle

FORMULA

a(n, k)=2^(n-1)*C(n, k). G.f.: A(x, y)=(1-x-xy)/(1-2x-2xy).

As an infinite lower triangular matrix, equals A134309 * A007318. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 19 2007

EXAMPLE

1; 1,1; 2,4,2; 4,12,12,4; 8,32,48,32,8; ...

CROSSREFS

Row sums give A004171. Cf. A000079, A007318, A055373, A055374.

Cf. A134309.

Sequence in context: A047975 A112791 A051638 this_sequence A136620 A139548 A108445

Adjacent sequences: A055369 A055370 A055371 this_sequence A055373 A055374 A055375

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), May 16 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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