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A015996
(tau(n^4) + 3)/4, where tau = A000005.
14
1, 2, 2, 3, 2, 7, 2, 4, 3, 7, 2, 12, 2, 7, 7, 5, 2, 12, 2, 12, 7, 7, 2, 17, 3, 7, 4, 12, 2, 32, 2, 6, 7, 7, 7, 21, 2, 7, 7, 17, 2, 32, 2, 12, 12, 7, 2, 22, 3, 12, 7, 12, 2, 17, 7, 17, 7, 7, 2, 57, 2, 7, 12, 7, 7, 32, 2, 12, 7, 32, 2, 30, 2, 7, 12, 12, 7, 32, 2, 22, 5, 7, 2, 57, 7, 7
OFFSET
1,2
COMMENTS
If n is prime, a(n) = 2 since a(p) = (tau(p^4)+3)/4 = (5+3)/4 = 2. - Wesley Ivan Hurt, Nov 16 2013
LINKS
FORMULA
a(n) = (A000005(n^4) + 3)/4.
MAPLE
A015996 := proc(n)
(numtheory[tau](n^4)+3)/4 ;
end proc; # R. J. Mathar, May 09 2013
MATHEMATICA
Table[(DivisorSigma[0, n^4] + 3)/4, {n, 100}] (* Wesley Ivan Hurt, Nov 16 2013 *)
PROG
(PARI)
A015996(n) = (numdiv(n^4)+3)/4;
for(n=1, 10000, write("b015996.txt", n, " ", A015996(n)));
\\ Antti Karttunen, Jan 17 2017
KEYWORD
nonn
EXTENSIONS
Definition corrected by Vladeta Jovovic, Sep 03 2005
STATUS
approved