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A377240
Expansion of (1 + 9*x/(1 - 9*x)^(1/3))^(1/3).
2
1, 3, 0, 45, 108, 1782, 8424, 94527, 596322, 5765904, 41921874, 379715688, 2974945482, 26175549087, 213735748383, 1857916476288, 15539695570341, 134524740926700, 1141825482025200, 9881043227641251, 84668712937125633, 733670610133591773, 6327618171676167195
OFFSET
0,2
FORMULA
a(n) = 9^n * Sum_{k=0..n} binomial(1/3,k) * binomial(n-2*k/3-1,n-k).
PROG
(PARI) a(n) = 9^n*sum(k=0, n, binomial(1/3, k)*binomial(n-2*k/3-1, n-k));
CROSSREFS
Cf. A377239.
Sequence in context: A164806 A105751 A177698 * A009786 A012738 A193410
KEYWORD
nonn,new
AUTHOR
Seiichi Manyama, Oct 21 2024
STATUS
approved