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A271664 Erroneous version of A271811 (but for odd primes only). 2
491, 668, 844, 1183, 1474, 1961, 2293, 2936, 4190, 4686, 6244, 7363, 7999, 9266, 11456, 13835, 14766, 17449, 19348, 20419, 23578, 25781, 29375, 34549, 37228, 38644, 41471, 43018, 46001, 57454, 60913, 66371, 68263, 77960, 80016, 86254, 92689, 97076, 103946, 111005, 113496 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Previous name was "Number of non-abelian groups of order prime(n)^6".

LINKS

Table of n, a(n) for n=2..42.

Rodney James, The groups of order p^6 (p an odd prime), Math. Comp. 34 (1980), 613-637.

M. F. Newman, E. A. O'Brien and M. R. Vaughan-Lee, Groups and nilpotent Lie rings whose order is the sixth power of a prime, J. Algebra, 278 (2004), 383-401.

Index entries for sequences related to groups

FORMULA

a(n) = (13*p^2 + 145*p + 1338 + 80*gcd(p-1,3) + 45*gcd(p-1,4) + 8*gcd(p-1, 5) + 8*gcd(p-1,6))/4 for n>2 and where p = prime(n). See [Rodney James].

PROG

(PARI) a(n) = if (n==2, 491, my(p=prime(n)); (13*p^2 + 145*p + 1338 + 80*gcd(p-1, 3) + 45*gcd(p-1, 4) + 8*gcd(p-1, 5) + 8*gcd(p-1, 6))/4);

CROSSREFS

Cf. A000001 (groups), A060689 (non-abelian groups),

Cf. A232106, A271664.

Cf. A030516 (primes^6)

Cf. A271811.

Sequence in context: A273809 A060975 A180457 * A082079 A260925 A217118

Adjacent sequences:  A271661 A271662 A271663 * A271665 A271666 A271667

KEYWORD

nonn

AUTHOR

Michel Marcus, Apr 12 2016

STATUS

approved

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)