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 A102550 #22 May 03 2019 10:44:31 %S A102550 0,1,1,0,1,1,1,0,0,1,1,0,1,1,2,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1, %T A102550 0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,2,0,1,1,1,0,0,1,1,0,1,1,2,0,0,1,1,0, %U A102550 0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,2,1,1,0,1,1,0,0,0,1,2,0,1,1,1,0,1,1,1,0,0 %N A102550 Number of distinct prime-factors of n that are bitwise covered by n. %C A102550 p is bitwise covered by n iff (p = (n AND p)) bitwise: A080099(n,p)=p. %H A102550 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a> %F A102550 a(A102553(n)) = A001221(A102553(n)); %F A102550 a(A102554(n)) < A001221(A102554(n)); %F A102550 a(A102551(n)) = 0, a(A102551(n)) > 0; %F A102550 a(A102555(n)) = n; %F A102550 a(m) < n for m < A102555(n). %F A102550 a(n) = Sum_{p|n} (binomial(n,p) mod 2), where p is a prime. - _Ridouane Oudra_, May 03 2019 %t A102550 a[1] = 0; a[k_] := Module[{f=FactorInteger[k][[;; , 1]]}, Count[BitAnd[k, f]-f, 0]]; Array[a,120] (* _Amiram Eldar_, Feb 06 2019 *) %Y A102550 Cf. A001221 (omega), A007088, A004676, A080099, A102210. %Y A102550 Cf. A102551, A102553, A102554, A102555. %K A102550 nonn %O A102550 1,15 %A A102550 _Reinhard Zumkeller_, Jan 14 2005 %E A102550 Offset 1 from _Amiram Eldar_, Feb 06 2019