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A376802
Expansion of 1/((1 - x)^3 - 9*x)^(1/3).
5
1, 4, 31, 283, 2770, 28204, 294568, 3131650, 33732883, 367035814, 4025600941, 44439461275, 493218155119, 5498860571026, 61543476786067, 691095770653867, 7783168304357434, 87878978740300960, 994484816394177214, 11276915136560900662, 128106749179069022344
OFFSET
0,2
LINKS
FORMULA
a(n) = Sum_{k=0..n} (-9)^k * binomial(-1/3,k) * binomial(n+2*k,n-k).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)^3-9*x)^(1/3))
CROSSREFS
Partial sums of A361895.
Cf. A004987.
Sequence in context: A309184 A077615 A039306 * A265949 A081054 A261053
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 04 2024
STATUS
approved