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A068027
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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.
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7
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1, 2047, 88573, 2794155, 12207031, 217414561, 329554457, 3269560515, 5883904390, 27757433067, 28531167061, 323579719281, 149346699503, 726383654349, 1158434219878, 3571013994483, 2141993519227, 15288525998824
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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CIP10 = CycleIndexPolynomial[SymmetricGroup[10], Array[x, 10]]; a[n_] := CIP10 /. x[k_] -> DivisorSigma[k, n]; Array[a, 18] (* Jean-François Alcover, Nov 04 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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