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.

A103676 Numbers m such that in binary representation m! contains 5!.

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%I A103676 #16 Nov 21 2013 12:48:38
%S A103676 5,10,12,22,23,25,27,29,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,
%T A103676 50,51,52,54,55,56,57,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,
%U A103676 76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99
%N A103676 Numbers m such that in binary representation m! contains 5!.
%C A103676 Complement of A103677: A103673(a(n))=1, A103673(A103677(n))=0.
%H A103676 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%H A103676 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%t A103676 Select[Range[100],MemberQ[Partition[IntegerDigits[#!,2],7,1],{1,1,1,1,0,0,0}]&] (* _Harvey P. Dale_, Apr 09 2012 *)
%o A103676 (PARI) is(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))); 2 \\ _Charles R Greathouse IV_, Apr 07 2013
%Y A103676 Cf. A102730, A036603, A007088, A000142, A103678, A103680.
%K A103676 nonn,base
%O A103676 1,1
%A A103676 _Reinhard Zumkeller_, Feb 12 2005