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

Author

Andrew Howroyd, Sep 22 2019

Keywords

• nonn

Comments

Permuting the colors does not change the structure.

Links

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

Crossrefs

Row sums of A327693.

Cf. A084423, A276547.

Programs

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))}