id:A068020 - OEIS Search Results

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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=3.

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1, 15, 40, 155, 156, 672, 400, 1395, 1210, 2520, 1464, 7280, 2380, 6336, 6600, 11811, 5220, 21030, 7240, 26880, 16672, 22752, 12720, 66960, 20306, 36792, 33880, 67040, 25260, 119592, 30784, 97155, 60144, 80136, 64080, 230966, 52060, 110880, 97384 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`1/3!(sigma[1](n)^3 + 3sigma[1](n)sigma[2](n) + 2sigma[3](n)).` `Sum_{r\|n, s\|n, t\|n, r<=s<=t} rst.`
	CROSSREFS	`Cf. A067692, A068021-A068027, A000203, A001157, A001158.` `Sequence in context: A067724 A005337 A038991 this_sequence A131991 A116042 A103003` `Adjacent sequences: A068017 A068018 A068019 this_sequence A068021 A068022 A068023`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 08 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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