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Search: id:A073119
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| A073119 |
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Total number of parts which are powers of 2 in all partitions of n. |
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+0
1
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| 0, 1, 1, 4, 5, 10, 14, 26, 35, 56, 77, 116, 157, 226, 302, 424, 560, 762, 998, 1334, 1727, 2270, 2914, 3779, 4809, 6163, 7781, 9875, 12378, 15565, 19383, 24191, 29934, 37093, 45643, 56201, 68789, 84212, 102564, 124903, 151424, 183499, 221508
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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a(n) = Sum_{k=1..n} A007814(k)*A000041(n-k).
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MATHEMATICA
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Needs["DiscreteMath`Combinatorica`"]; f[n_] := Length[ Select[ Log[2, Flatten[ Partitions[n]]], IntegerQ[ # ] && # > 0 & ]]; Table[ f[n], {n, 1, 45}]
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CROSSREFS
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Cf. A024786, A000070.
Sequence in context: A094415 A114517 A116930 this_sequence A002257 A101528 A119040
Adjacent sequences: A073116 A073117 A073118 this_sequence A073120 A073121 A073122
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 24 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 26 2002
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