A385839 a(n) = 1 + Sum_{k=0..n-1} (1 + k^6) * a(k) * a(n-1-k).

1, 2, 7, 471, 345240, 1415486250, 22122636527386, 1032242227753172079, 121446394933841583123508, 31836929544298684420302348229, 16919577022277987344334514604394117, 16919644700745370569015746375165719379327, 29974250364360598877961318618919670090162246645

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Formula

G.f. A(x) satisfies A(x) = 1/( (1 - x) * ( 1 - x*A(x) - x*Sum_{k=1..6} Stirling2(6,k) * x^k * (d^k/dx^k A(x)) ) ).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=0, i-1, (1+j^6)*v[j+1]*v[i-j])); v;

Crossrefs

Cf. A321087, A385835, A385836, A385837, A385838.

Cf. A385834.

Sequence in context: A110386 A260229 A321134 * A027732 A073698 A073860

Adjacent sequences: A385836 A385837 A385838 * A385840 A385841 A385842

Keyword

nonn

Author

Seiichi Manyama, Jul 09 2025

Status

approved