cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112967 Sum(Omega(i)*Omega(j): i+j=n), with Omega=A001222.

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%I A112967 #13 Mar 16 2017 04:19:41
%S A112967 0,0,0,1,2,5,6,10,10,17,18,26,24,33,30,41,38,52,46,64,54,71,62,87,70,
%T A112967 91,80,106,90,116,100,130,112,139,120,163,130,161,144,185,152,190,162,
%U A112967 208,172,205,178,244,186,232,208,262,212,267,218,291,246,287,248,329,252
%N A112967 Sum(Omega(i)*Omega(j): i+j=n), with Omega=A001222.
%H A112967 Robert Israel, <a href="/A112967/b112967.txt">Table of n, a(n) for n = 1..10000</a>
%F A112967 G.f.: (Sum_{p prime, k>=1} x^(p^k)/(1 - x^(p^k)))^2. - _Ilya Gutkovskiy_, Mar 15 2017
%p A112967 X:= Vector(100, numtheory:-bigomega):
%p A112967 seq(add(X[i]*X[n-i],i=1..n-1),n=1..100); # _Robert Israel_, Mar 15 2017
%t A112967 Table[Sum[PrimeOmega[i] PrimeOmega[n - i],{i,1, n - 1} ], {n, 1, 61}] (* _Indranil Ghosh_, Mar 16 2017 *)
%o A112967 (PARI) for(n=1, 61, print1(sum(i=1, n - 1, bigomega(i) * bigomega(n - i)),", ")) \\ _Indranil Ghosh_, Mar 16 2017
%Y A112967 Cf. A112965, A112968, A022559.
%K A112967 nonn,look
%O A112967 1,5
%A A112967 _Reinhard Zumkeller_, Oct 07 2005