A036728 G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 7 generated by (1,2,...,7).

1, 1, 1, 4, 15, 62, 274, 1260, 5973, 28975, 143176, 718070, 3645876, 18703560, 96799076, 504797258, 2649947859, 13992164283, 74262871273, 395964705460, 2119994732940, 11392843953996, 61432524907686, 332279234332898, 1802324611950162, 9801398446704912, 53429393943265914

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)^7 + 6*A(x^7))/7. - Andrew Howroyd, Jul 22 2026

Prog

(PARI) seq(n) = {my(g=O(1)); for(i=0, n, g = 1+x*(g^7 + 6*subst(g + O(x^(n\7+1)), x, x^7))/7); Vec(g)} \\ Andrew Howroyd, Jul 22 2026

Crossrefs

Column k=7 of A398107.

Cf. A036717-A036726.

Sequence in context: A007161 A352815 A007167 * A027216 A124541 A353264

Adjacent sequences: A036725 A036726 A036727 * A036729 A036730 A036731

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved