OFFSET
0,5
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..449
FORMULA
MATHEMATICA
nmax = 25; CoefficientList[Series[(1 - x^3)^(1 + 1/x + 1/x^2), {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, May 09 2022 *)
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1-x^3)^(1+1/x+1/x^2)))
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-sum(k=1, N, x^k/((k+2)\3)))))
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=-(i-1)!*sum(j=1, i, j/((j+2)\3)*v[i-j+1]/(i-j)!)); v;
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 30 2022
STATUS
approved