A360900 G.f. satisfies A(x) = 1 + x/(1 + x^3)^2 * A(x/(1 + x^3)).

1, 1, 1, 1, -1, -4, -8, -10, 2, 40, 115, 174, 22, -736, -2495, -4276, -920, 20593, 75011, 135814, 17524, -788871, -2909061, -5248648, 623274, 38581252, 138036877, 235567666, -134440249, -2284840691, -7698637124, -11745925435, 15869626983, 157479613343

Offset

0,6

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

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

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, (-1)^j*binomial(i-2*j, j)*v[i-3*j])); v;

Crossrefs

Cf. A352865, A360901.

Cf. A360892.

Sequence in context: A084093 A072037 A076703 * A305372 A261602 A265733

Adjacent sequences: A360897 A360898 A360899 * A360901 A360902 A360903

Keyword

sign

Author

Seiichi Manyama, Feb 25 2023

Status

approved