A103672 Greatest m less than n such that in binary representation n! contains m!.

0, 1, 2, 3, 4, 3, 4, 7, 4, 5, 4, 5, 4, 4, 4, 15, 4, 4, 4, 6, 4, 5, 6, 4, 5, 4, 5, 4, 5, 6, 6, 31, 5, 5, 5, 4, 6, 5, 5, 5, 5, 5, 6, 5, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 63, 6, 5, 5, 5, 5, 5, 6, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 5, 5, 6, 6, 5, 5, 5, 6, 7, 5, 6, 5, 5

Offset

1,3

Comments

a(2^k) = 2^k - 1, a(A000079(k)) = A000225(k).

Links

Table of n, a(n) for n=1..104.

Index entries for sequences related to factorial numbers

Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A102730, A103671, A036603, A007088, A000142.

Sequence in context: A177329 A360379 A253852 * A309255 A201443 A291762

Adjacent sequences: A103669 A103670 A103671 * A103673 A103674 A103675

Keyword

nonn

Author

Reinhard Zumkeller, Feb 12 2005

Status

approved