OFFSET
1,1
COMMENTS
A000688(p^6) is 11 for all prime p.
LINKS
Muniru A Asiru, Table of n, a(n) for n = 1..1229
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.
FORMULA
MATHEMATICA
Table[FiniteGroupCount[#] - FiniteAbelianGroupCount[#] &[Prime[n]^6], {n, 43}] (* Michael De Vlieger, Apr 15 2016, after Vladimir Joseph Stephan Orlovsky at A060689 *)
PROG
(PARI) a(n) = if (n==1, 256, if (n==2, 493, my(p=prime(n)); 3*p^2 + 39*p + 333 + 24*gcd(p - 1, 3) + 11*gcd(p - 1, 4) + 2*gcd(p - 1, 5)));
(GAP) A271811 := Concatenation([256, 493], List(Filtered([5..10^4], IsPrime), p -> 3 * p^2 + 39 * p + 333 + 24 * Gcd(p-1, 3) + 11 * Gcd(p-1, 4) + 2 * Gcd(p-1, 5))); # Muniru A Asiru, Nov 18 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Altug Alkan, Apr 14 2016
STATUS
approved