A036727 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 5 generated by (1,2,3,4,5).

1, 1, 1, 3, 9, 30, 107, 392, 1489, 5783, 22874, 91822, 373111, 1531744, 6343528, 26469872, 111180537, 469696489, 1994490659, 8508116485, 36443396006, 156680537096, 675885192670, 2924577632532, 12690327612739, 55208106904873, 240749679714228, 1052164852192160

Offset

0,4

Links

Andrew Howroyd, Table of n, a(n) for n = 0..500

Formula

G.f. A(x) satisfies A(x) = 1 + x*(A(x)^5 + 4*A(x^5))/5. - Andrew Howroyd, Jul 22 2026

Prog

(PARI) seq(n) = {my(g=O(1)); for(i=0, n, g = 1+x*(g^5 + 4*subst(g + O(x^(n\5+1)), x, x^5))/5); Vec(g)} \\ Andrew Howroyd, Jul 22 2026

Crossrefs

Column k=5 of A398107.

Cf. A036717-A036726.

Sequence in context: A148957 A148958 A024332 * A216454 A053022 A369440

Adjacent sequences: A036724 A036725 A036726 * A036728 A036729 A036730

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved