

A062534


Table by antidiagonals of coefficient of x^k in expansion of 1/((1+x)^2*(1x)^n).


1



1, 2, 1, 3, 1, 1, 4, 2, 0, 1, 5, 2, 2, 1, 1, 6, 3, 0, 3, 2, 1, 7, 3, 3, 3, 5, 3, 1, 8, 4, 0, 6, 8, 8, 4, 1, 9, 4, 4, 6, 14, 16, 12, 5, 1, 10, 5, 0, 10, 20, 30, 28, 17, 6, 1, 11, 5, 5, 10, 30, 50, 58, 45, 23, 7, 1, 12, 6, 0, 15, 40, 80, 108, 103, 68, 30, 8, 1, 13, 6, 6, 15, 55, 120, 188, 211, 171, 98, 38, 9, 1, 14, 7, 0, 21, 70, 175
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..96.


FORMULA

Each row is partial sum of preceding row, i.e. T(n, k)=T(n1, k)+T(n, k1) with T(0, k)=(k+1)*(1)^k and T(n, 0)=1.


CROSSREFS

Rows are effectively (with minor adjustments): A038608, A001057, A027656, A008805, A006918, A002624, A028346. Cf. A058394 which (adjusting for signs and an overlap of three rows) is effectively the continuation of this table for negative n.
Sequence in context: A173261 A084296 A209235 * A143349 A335123 A182715
Adjacent sequences: A062531 A062532 A062533 * A062535 A062536 A062537


KEYWORD

sign,tabl


AUTHOR

Henry Bottomley, Jun 25 2001


STATUS

approved



