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A368286
Expansion of e.g.f. exp(-x) / (1 + 2*log(1 - x)).
3
1, 1, 7, 51, 521, 6617, 100903, 1795091, 36497601, 834825089, 21217022903, 593152248323, 18089914384425, 597680325734905, 21266014041519799, 810711731123810051, 32966705053762073665, 1424339658492670445121, 65159114638457033834791
OFFSET
0,3
FORMULA
a(n) = (-1)^n + 2 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k).
PROG
(PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+2*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Dec 19 2023
STATUS
approved