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.

A103673 If in binary representation n! contains 5! then 1 else 0.

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%I A103673 #15 Apr 07 2013 08:16:00
%S A103673 0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1,
%T A103673 1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,
%U A103673 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%N A103673 If in binary representation n! contains 5! then 1 else 0.
%C A103673 a(A103676(n)) = 1, a(A103677(n)) = 0.
%C A103673 Conjecture: a(n) = 1 for n > 65. - _Charles R Greathouse IV_, Apr 07 2013
%H A103673 <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%H A103673 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%H A103673 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%o A103673 (PARI) a(n)=n=n!;while(n>119, my(e=valuation(n,2),e1=valuation((n>>=e)+1,2)); n>>=e1; if(e>2 && e1>3, return(1))); 0 \\ _Charles R Greathouse IV_, Apr 07 2013
%Y A103673 Cf. A102730, A036603, A007088, A000142, A103674, A103675.
%K A103673 nonn,base
%O A103673 0,1
%A A103673 _Reinhard Zumkeller_, Feb 12 2005