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Search: id:A118655
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| A118655 |
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Numbers n such that Hamming weight of n equals Hamming weight of n^3. |
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+0
2
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| 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 56953, 65536, 113906, 131072, 227812, 262144, 455624, 524288, 911248, 1048576, 1822496, 1830651, 2097152, 3644992, 3661302, 4194304, 5502457, 7289984, 7322604
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OFFSET
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1,2
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COMMENT
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A000079(n) is a subsequence because the Hamming weight of any A000079(n) is 1 and cubing such a number just adds binary zeros. A077436 is the sequence when the a(n) is squared, not cubed as here.
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FORMULA
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A000120[a(n)]=A000120[a(n)^3]
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PROGRAM
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(PARI) bitcnt(n)= { local(bitv, bitl) ; bitv=binary(n) ; bitvl=matsize(bitv) ; return(sum(i=1, bitvl[2], bitv[i])) ; } { for(i=1, 8000000, if(bitcnt(i)==bitcnt(i^3), print1(i, ", ") ; ) ; ) ; }
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CROSSREFS
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Cf. A077436, A000079, A000120.
Sequence in context: A008863 A145117 A133025 this_sequence A155559 A166687 A011782
Adjacent sequences: A118652 A118653 A118654 this_sequence A118656 A118657 A118658
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KEYWORD
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easy,nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 18 2006
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