A103677 Numbers m such that in binary representation m! doesn't contain 5!.

0, 1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 26, 28, 30, 31, 32, 36, 46, 53, 58, 65

Offset: 1

Author

Reinhard Zumkeller, Feb 12 2005

Keywords

• nonn
• base

Comments

Conjecture: there are no further terms;

complement of A103676: A103673(a(n))=0, A103673(A103676(n))=1.

Links

• Index entries for sequences related to factorial numbers
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A102730, A036603, A007088, A000142, A103679, A103681.

Programs

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(0))); 1 \\ Charles R Greathouse IV, Apr 07 2013