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%I #21 May 07 2021 12:55:43
%S 1,2,2,3,2,6,2,4,3,6,2,10,2,6,6,5,2,10,2,10,6,6,2,14,3,6,4,10,2,22,2,
%T 6,6,6,6,17,2,6,6,14,2,22,2,10,10,6,2,18,3,10,6,10,2,14,6,14,6,6,2,38,
%U 2,6,10,7,6,22,2,10,6,22,2,24,2,6,10,10,6,22,2,18,5,6,2,38,6,6
%N a(n) = (tau(n^3)+2)/3.
%H Antti Karttunen, <a href="/A015995/b015995.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = (2+A048785(n))/3. - _R. J. Mathar_, May 07 2021
%t Table[(DivisorSigma[0,n^3]+2)/3,{n,90}] (* _Harvey P. Dale_, Apr 30 2018 *)
%o (PARI) a(n)=(numdiv(n^3)+2)/3 \\ _Charles R Greathouse IV_, May 01 2013
%o (PARI) a(n)=my(f=factor(n)[,2]);prod(i=1,#f,3*f[i]+1)\3+1 \\ _Charles R Greathouse IV_, May 01 2013
%Y Cf. A004194, A018892, A015996, A015999, A016001, A016002, A016003, A016005-A016009, A016012, A016017, A016018, A016020, A016025, A048785.
%K nonn
%O 1,2
%A _Robert G. Wilson v_
%E Definition corrected by _Vladeta Jovovic_, Sep 03 2005