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Search: id:A067850
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| A067850 |
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Highest power of 2 not exceeding n!. |
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+0
13
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| 0, 0, 1, 2, 4, 6, 9, 12, 15, 18, 21, 25, 28, 32, 36, 40, 44, 48, 52, 56, 61, 65, 69, 74, 79, 83, 88, 93, 97, 102, 107, 112, 117, 122, 127, 132, 138, 143, 148, 153, 159, 164, 169, 175, 180, 186, 191, 197, 202, 208, 214, 219, 225, 231, 237, 242, 248, 254, 260, 266
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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2^a(n) <= n! < 2^[a(n)+1]
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FORMULA
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floor(log[2](n!)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 18 2002
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MATHEMATICA
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f[n_] := Block[{k = 0}, While[2^k <= n!, k++ ]; k--; k]; Table[ f[n], {n, 0, 60} ]
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CROSSREFS
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Cf. A000142.
Sequence in context: A130664 A014011 A064424 this_sequence A130240 A143118 A162800
Adjacent sequences: A067847 A067848 A067849 this_sequence A067851 A067852 A067853
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Feb 15 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 16 2002
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