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.
%I A193510 #16 Jul 05 2023 17:34:06 %S A193510 0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1, %T A193510 1,2,0,1,1,2,0,0,0,0,0,1,0,0,1,0,1,0,0,2,1,2,1,1,0,2,0,1,0,2,1,0,0,0, %U A193510 1,0,0,0,0,1,0,0,1,0,0,0 %N A193510 Number of even divisors of Omega(n). %C A193510 Omega(n) is the number of prime divisors of n counted with multiplicity, A001222 (also called bigomega(n)). %C A193510 Records are at 4^A002182(n). [_Charles R Greathouse IV_, Jul 29 2011] %H A193510 Charles R Greathouse IV, <a href="/A193510/b193510.txt">Table of n, a(n) for n = 1..10000</a> %e A193510 a(16) = 2 because Omega(16) = 4 and the 2 even divisors are {2, 4}. %t A193510 f[n_] := Block[{d = Divisors[PrimeOmega[n]]}, Count[EvenQ[d], True]]; Table[f[n], {n, 80}] %t A193510 Join[{0},Table[Count[Divisors[PrimeOmega[n]],_?EvenQ],{n,2,100}]] (* _Harvey P. Dale_, Jul 05 2023 *) %o A193510 (PARI) a(n)=my(k=bigomega(n));if(!k||k%2,0,numdiv(k/2)) \\ _Charles R Greathouse IV_, Jul 29 2011 %Y A193510 Cf. A183063, A001222, A193509. %K A193510 nonn %O A193510 1,16 %A A193510 _Michel Lagneau_, Jul 29 2011