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Search: id:A076276
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| A076276 |
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Number of + signs needed to write the partitions of n (A000041) as sums. |
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+0
3
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| 0, 0, 1, 3, 7, 13, 24, 39, 64, 98, 150, 219, 322, 455, 645, 892, 1232, 1668, 2259, 3008, 4003, 5260, 6897, 8951, 11599, 14893, 19086, 24284, 30827, 38888, 48959, 61293, 76578, 95223, 118152, 145993, 180037, 221175, 271186, 331402, 404208, 491521
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n) = (Sum_{k=1..n} tau(k)*numbpart(n-k))-numbpart(n) = A006128(n)-A000041(n), n>0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 06 2002
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EXAMPLE
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4=1+3=2+2=1+1+2=1+1+1+1, 7 + signs are needed, so a(4)=7.
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MATHEMATICA
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a[0]=0; a[n_] := Sum[DivisorSigma[0, k]PartitionsP[n-k], {k, 1, n}]-PartitionsP[n]
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CROSSREFS
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Sequence in context: A102948 A061263 A156209 this_sequence A056764 A026103 A092463
Adjacent sequences: A076273 A076274 A076275 this_sequence A076277 A076278 A076279
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KEYWORD
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nonn
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 04 2002
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Robert G. Wilson v (rgwv(AT)rgwv.com), Dean Hickerson (dean.hickerson(AT)yahoo.com) and Don Reble (djr(AT)nk.ca), Oct 06 2002.
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