A385545 G.f. A(x) satisfies A(x) = 1 + Sum_{k>=1} x^k * A(k^k*x).

1, 1, 2, 7, 67, 2230, 291361, 175199847, 539106921036, 9670093811773995, 1069862206887191422681, 807978416441576833409563956, 4375214603169633800454711727052741, 183123024189390881947159236684046056294761, 63910309174503171773375590763352136484437788465230

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Formula

a(0) = 1; a(n) = Sum_{k=0..n-1} (n-k)^(k*(n-k)) * a(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, (i-j)^(j*(i-j))*v[j+1])); v;

Crossrefs

Cf. A385549.

Sequence in context: A341088 A207978 A307246 * A225156 A260968 A322223

Adjacent sequences: A385542 A385543 A385544 * A385546 A385547 A385548

Keyword

nonn,easy

Author

Seiichi Manyama, Jul 03 2025

Status

approved