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Search: id:A002637
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| A002637 |
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Number of partitions of n into not more than 5 pentagonal numbers.
(Formerly M0050 N0016)
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+0
1
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| 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 1, 3, 3, 3, 4, 3, 3, 2, 3, 3, 1, 2, 3, 4, 4, 3, 4, 3, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 4, 4, 3, 2, 4, 3, 4, 4, 5, 6, 5, 5, 4, 5, 6, 3, 4, 4, 6, 5, 4, 5, 4, 6, 4, 5, 6, 4, 3, 3, 8, 7, 5, 6, 5, 7, 5, 6, 5, 3, 6, 5, 7, 7
(list; graph; listen)
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OFFSET
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1,5
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REFERENCES
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D. H. Lehmer, Review of Loria article, Math. Comp. 2 (1947), 301-302.
G. Loria, Sulla scomposizione di un intero nella somma di numeri poligonali. (Italian) Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 1, (1946). 7-15.
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LINKS
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Wouter Meeussen, Table of n, a(n) for n = 1..512
Eric Weisstein, MathWorld, Pentagonal Number
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MATHEMATICA
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it=Expand[Normal @ Series[CoefficientList[Series[Product[(1+(q l[3k^2/2-k/2] x^(3k^2/2-k/2)))^5, {k, 512}], {x, 0, 512}], x], {q, 0, 5}]]/. (_Integer) q^(e_:1)->1 /.q->1 ; it/.l[_]->1 - Wouter Meeussen (wouter.meeussen(AT)pandora.be), May 17 2008
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CROSSREFS
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Sequence in context: A139039 A122172 A025910 this_sequence A134837 A077478 A127836
Adjacent sequences: A002634 A002635 A002636 this_sequence A002638 A002639 A002640
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 28 2002
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