A366454 G.f. A(x) satisfies A(x) = 1 + x + x/A(x)^(3/2).

1, 2, -3, 12, -58, 312, -1794, 10794, -67113, 427800, -2780677, 18360504, -122809416, 830379966, -5666465445, 38974338126, -269915089194, 1880576960904, -13172489198859, 92705253700620, -655219698720486, 4648722344211012, -33096948925057703

Offset

0,2

Links

Table of n, a(n) for n=0..22.

Formula

G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366400.

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(5*k/2-1,k) * binomial(n+3*k/2-2,n-k) / (5*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(5*k/2-1, k)*binomial(n+3*k/2-2, n-k)/(5*k/2-1));

Crossrefs

Cf. A112478, A364393, A364407, A364408, A364409, A366266, A366267, A366268, A366452, A366453, A366455, A366456.

Cf. A366400.

Sequence in context: A027072 A083746 A025231 * A094532 A092980 A191464

Adjacent sequences: A366451 A366452 A366453 * A366455 A366456 A366457

Keyword

sign

Author

Seiichi Manyama, Oct 10 2023

Status

approved