A382450 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(2*x*A(x)) ).

1, 1, 3, 19, 221, 4597, 174007, 12328367, 1674839513, 443624694633, 231531387336683, 239620527240665643, 493608618766634690997, 2028225390820399637729437, 16643586506902581140427736799, 272938023130910288846692573380167, 8947998686305041917555662919172783921

Offset: 0

Author

Seiichi Manyama, Jun 10 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384777.

Programs

PARI

a(n, k=1) = if(k==0, 0^n, k*sum(j=0, n, 2^(n-j)*binomial(n+k, j)/(n+k)*a(n-j, j)));

Formula

See A384777.