id:A068022 - 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=5.

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1, 63, 364, 2667, 3906, 26964, 19608, 97155, 99463, 271278, 177156, 1228836, 402234, 1324008, 1520784, 3309747, 1508598, 7746453, 2613660, 12021702, 7487424, 11661372, 6728904, 46371780, 12714681, 26297334, 25095280, 57926792 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`1/5!(sigma[1](n)^5 + 10sigma[1](n)^3sigma[2](n) + 20sigma[1](n)^2sigma[3](n) + 15sigma[1](n)sigma[2](n)^2 + 30sigma[1](n)sigma[4](n) + 20sigma[2](n)sigma[3](n) + 24sigma[5](n)).`
	CROSSREFS	`Cf. A067692, A068020, A068021, A068023-A068027, A000203, A001157-A001160.` `Sequence in context: A138833 A034817 A038993 this_sequence A131993 A092050 A055817` `Adjacent sequences: A068019 A068020 A068021 this_sequence A068023 A068024 A068025`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 08 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research