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A068027 Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=10. 7
1, 2047, 88573, 2794155, 12207031, 217414561, 329554457, 3269560515, 5883904390, 27757433067, 28531167061, 323579719281, 149346699503, 726383654349, 1158434219878, 3571013994483, 2141993519227, 15288525998824 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..18.

MATHEMATICA

CIP10 = CycleIndexPolynomial[SymmetricGroup[10], Array[x, 10]]; a[n_] := CIP10 /. x[k_] -> DivisorSigma[k, n]; Array[a, 18] (* Jean-Fran├žois Alcover, Nov 04 2016 *)

CROSSREFS

Cf. A067692, A068020-A068026, A000203, A001157-A001160, A013954-A013958.

Sequence in context: A011561 A160960 A038998 * A075949 A075950 A022527

Adjacent sequences:  A068024 A068025 A068026 * A068028 A068029 A068030

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Feb 08 2002

STATUS

approved

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Last modified July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)