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A061298 Table by antidiagonals of rows of sequences where each row is binomial transform of preceding row and row 1 is (1,2,1,2,1,2,1,2,...). +0
1
1, 1, 1, -2, 2, 1, 4, 1, 3, 1, -8, 2, 6, 4, 1, 16, 1, 12, 13, 5, 1, -32, 2, 24, 40, 22, 6, 1, 64, 1, 48, 121, 92, 33, 7, 1, -128, 2, 96, 364, 376, 174, 46, 8, 1, 256, 1, 192, 1093, 1520, 897, 292, 61, 9, 1, -512, 2, 384, 3280, 6112, 4566, 1816, 452, 78, 10, 1, 1024, 1, 768, 9841, 24512, 23073, 11152, 3289, 660, 97, 11, 1, -2048 (list; table; graph; listen)
OFFSET

0,4

FORMULA

T(n, k) =(3n^k-(n-2)^k)/2. Coefficient of x^k in expansion of (1-(n-3)x)/((1-nx)(1-(n-2)x)).

CROSSREFS

Rows include A011782 (but signed), A000034, A003945, A003462, A010036. Columns include A000012, A000027, A028872.

Sequence in context: A140957 A112085 A090002 this_sequence A002126 A129721 A054995

Adjacent sequences: A061295 A061296 A061297 this_sequence A061299 A061300 A061301

KEYWORD

sign,tabl

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jun 05 2001

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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