|
Search: id:A117890
|
|
|
| A117890 |
|
Numbers n such that number of non-leading 0's in binary representation of n divides n. |
|
+0
2
|
|
| 2, 4, 5, 6, 10, 11, 12, 13, 14, 16, 18, 22, 23, 24, 26, 27, 28, 29, 30, 36, 40, 42, 46, 47, 48, 54, 55, 58, 59, 60, 61, 62, 65, 75, 76, 78, 80, 84, 88, 90, 94, 95, 99, 100, 102, 104, 105, 108, 110, 111, 112, 114, 118, 119, 120, 122, 123, 124, 125, 126, 132, 140, 144, 145
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Contains primes of A095078(n) as a subset. Intersection of a(n) with A049445(n) is A117891(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
|
|
FORMULA
|
a(n)<=A117891(n) - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
a(n) mod A023416(a(n)) = 0. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 22 2007
|
|
EXAMPLE
|
24 is 11000 in binary. This binary representation has three 0's, and 3 divides 24. So 24 is in the sequence.
|
|
PROGRAM
|
(C) #include <stdio.h> int main(int argc, char *argv[]) { for(int n=1; n< 500; n++) { int digs=0; int nshifted=n; while(nshifted) { digs += 1- nshifted & 1; nshifted >>= 1; } if ( digs) if( n % digs == 0 ) printf("%d, ", n); } } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
|
|
CROSSREFS
|
Cf. A049445, A117891.
Sequence in context: A014224 A077312 A140779 this_sequence A108853 A047433 A029465
Adjacent sequences: A117887 A117888 A117889 this_sequence A117891 A117892 A117893
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Leroy Quet (qq-quet(AT)mindspring.com), Mar 30 2006
|
|
EXTENSIONS
|
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
|
|
|
Search completed in 0.002 seconds
|
