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Search: id:A117891
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| A117891 |
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Numbers n such that both the number of non-leading 0's in the binary representation of n and the number of 1's in the binary representation of n divide n. |
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+0
2
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| 2, 4, 6, 10, 12, 16, 18, 24, 36, 40, 42, 48, 55, 60, 80, 84, 108, 110, 120, 126, 132, 144, 156, 172, 180, 184, 192, 204, 212, 216, 222, 228, 232, 240, 246, 252, 256, 276, 300, 318, 324, 336, 340, 360, 366, 378, 414, 420, 438, 440, 444, 460, 462, 474, 480, 486
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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24 is 11000 in binary. This binary representation has three 0's, and 3 divides 24. Also, the binary representation has two 1's, and 2 also divides 24. So 24 is in the sequence.
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PROGRAM
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(C) #include <stdio.h> int main(int argc, char *argv[]) { for(int n=1; n< 500 ; n++) { int digs[2] ; int nshifted=n ; digs[0]=digs[1]=0 ; while(nshifted) { digs[ nshifted & 1]++ ; nshifted >>= 1 ; } if ( digs[0] && digs[1]) if( ( n % digs[0]) == 0 && (n %digs[1]) ==0) printf("%d, ", n) ; } } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
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CROSSREFS
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Cf. A049445, A117890.
Sequence in context: A075728 A006093 A127965 this_sequence A072752 A036634 A005942
Adjacent sequences: A117888 A117889 A117890 this_sequence A117892 A117893 A117894
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KEYWORD
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easy,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Mar 30 2006
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 03 2006
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