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Search: id:A079584
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| A079584 |
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Number of ones in the binary expansion of n!. |
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+0
2
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| 1, 1, 2, 2, 4, 4, 6, 6, 6, 11, 7, 12, 12, 12, 18, 18, 22, 23, 17, 22, 25, 28, 31, 29, 30, 35, 38, 42, 40, 48, 42, 42, 46, 51, 56, 51, 58, 59, 64, 63, 66, 64, 71, 74, 70, 77, 81, 89, 87, 89, 90, 88, 94, 87, 99, 103, 98, 101, 109, 113, 103, 113, 120, 120, 109, 123, 121, 130, 121
(list; graph; listen)
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OFFSET
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1,3
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FORMULA
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a(n) = sum_components(binary_vector(n!))
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EXAMPLE
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a(5) = 4 because 5!=120 and 120)D = 1111000)B, with 4 ones.
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MATHEMATICA
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f[n_]:=Plus@@IntegerDigits[n, 2]; lst={}; Do[fa=n!; AppendTo[lst, f[fa]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 10 2009]
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PROGRAM
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(PARI) for(n=1, 300, b=binary(n!); print1(sum(k=1, length(b), b[k]", ")))
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CROSSREFS
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Sequence in context: A083535 A070320 A124195 this_sequence A004079 A096494 A116568
Adjacent sequences: A079581 A079582 A079583 this_sequence A079585 A079586 A079587
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KEYWORD
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nonn
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AUTHOR
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Jose R. Brox (tautocrona(AT)terra.es), Jan 26 2003
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