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.

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

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