Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A102730
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A102730 Number of factorials contained in n! in binary representation. +0
13
1, 2, 3, 4, 5, 6, 5, 6, 7, 6, 7, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 7, 8, 6, 7, 6, 7, 6, 7, 7, 7, 8, 7, 7, 7, 6, 8, 7, 7, 7, 7, 7, 8, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 8, 7, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 8, 8, 7, 8, 7, 7 (list; graph; listen)
OFFSET

0,2

COMMENT

Conjecture: the sequence is bounded.

For n>0: A103670(n) = smallest m such that a(m)=n;

A103671(n) = smallest m such that in binary representation n! doesn't contain m!;

A103672(n) = greatest m less than n such that in binary representation n! contains m!.

LINKS

Index entries for sequences related to factorial numbers.

Index entries for sequences related to binary expansion of n

EXAMPLE

n=6: 6!=720->'1011010000' contains a(6)=5 factorials: 0!=1->'1', 1!=1->'1', 2!=2->'10', 3!=6->'110' and 6! itself, but not 4!=24->'11000' and 5!=120->'1111000'.

CROSSREFS

Cf. A036603, A007088, A000142, A011371, A093684.

Cf. A103673, A103676, A103677, A103674, A103678, A103679, A103675, A103680, A103681.

Sequence in context: A094700 A073635 A071532 this_sequence A165597 A099033 A002330

Adjacent sequences: A102727 A102728 A102729 this_sequence A102731 A102732 A102733

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 07 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


AT&T Labs Research