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A280162 Number of subgroups of the group C_n x C_n x C_n x C_n, where C_n is the cyclic group of  order n. 2
1, 67, 212, 1983, 1120, 14204, 3652, 43339, 24033, 75040, 19156, 420396, 35872, 244684, 237440, 821335, 99472, 1610211, 152404, 2220960, 774224, 1283452, 318532, 9187868, 810969, 2403424, 2222704, 7241916, 783904, 15908480, 1016836, 14445411, 4061072, 6664624, 4090240, 47657439, 2031712 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Max Alekseyev, PARI/GP Scripts for Miscellaneous Math Problems

G. A. Miller, On the subgroups of an abelian group, The Annals of Mathematics, 2nd Ser. 6:1 (1904), pp. 1-6.

L. Toth, The number of subgroups of the group Z_m x Z_n x Z_r x Z_s, arXiv:1611.03302 [math.GR], (2016).

PROG

(PARI) \\ For numsubgrp, see the Alekseyev link.

a(n)=my(f=factor(n)); prod(i=1, #f~, numsubgrp(f[i, 1], f[i, 2]*[1, 1, 1, 1])) \\ Charles R Greathouse IV, Dec 27 2016

CROSSREFS

Cf. A060724, A064803.

Sequence in context: A119593 A142891 A142049 * A142514 A142273 A141985

Adjacent sequences:  A280159 A280160 A280161 * A280163 A280164 A280165

KEYWORD

nonn,mult

AUTHOR

Laszlo Toth, Dec 27 2016

EXTENSIONS

Terms a(32) and beyond from Charles R Greathouse IV, Dec 27 2016

STATUS

approved

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)