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A055372
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Invert transform of Pascal's triangle A007318.
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10
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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; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| 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
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LINKS
| N. J. A. Sloane, Transforms
Index entries for triangles and arrays related to Pascal's triangle
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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
Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A011782(n), A081294(n), A081341(n), A092811(n), A093143(n), A067419(n) for x = -1, 0, 1, 2, 3, 4, 5 respectively. - DELEHAM Philippe, Feb 05 2012
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EXAMPLE
| 1; 1,1; 2,4,2; 4,12,12,4; 8,32,48,32,8; ...
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CROSSREFS
| Row sums give A081294. Cf. A000079, A007318, A055373, A055374.
Cf. A134309.
Sequence in context: A155682 A191370 A151706 * A198285 A136620 A139548
Adjacent sequences: A055369 A055370 A055371 * A055373 A055374 A055375
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KEYWORD
| nonn,tabl,changed
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), May 16 2000
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