login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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).
MATHEMATICA
CoefficientList[Series[1/Surd[((1-x)^3-9x), 3], {x, 0, 30}], x] (* Harvey P. Dale, Dec 11 2024 *)
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,changed
AUTHOR
Seiichi Manyama, Oct 04 2024
STATUS
approved