A327696 Number of n-bead necklace structures using an infinite alphabet that are not self-equivalent under a nonzero rotation.

1, 1, 0, 1, 2, 10, 28, 125, 497, 2345, 11497, 61688, 350543, 2126495, 13631966, 92197099, 654982126, 4874404106, 37892942311, 306986431845, 2586206074833, 22612848380851, 204850698287662, 1919652428481928, 18581619383614327, 185543613289199731, 1908894095258021121

Offset

0,5

Comments

Permuting the colors does not change the structure.

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Prog

(PARI) seq(n)={Vec(1 + intformal(sum(m=1, n, moebius(m)*subst(serlaplace(-1 + exp(sumdiv(m, d, (exp(d*x + O(x*x^(n\m)))-1)/d))), x, x^m))/x))}

Crossrefs

Row sums of A327693.

Cf. A084423, A276547.

Sequence in context: A127921 A371943 A106184 * A076438 A203551 A344791

Adjacent sequences: A327693 A327694 A327695 * A327697 A327698 A327699

Keyword

nonn

Author

Andrew Howroyd, Sep 22 2019

Status

approved