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Search: id:A046042
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| A046042 |
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Number of partitions of n into fourth powers. |
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+0
1
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9
(list; graph; listen)
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OFFSET
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1,16
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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G.f.=-1+1/product(1-x^(j^4),j=1..infinity). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 06 2006
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EXAMPLE
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a(33)=3 because we have [16,16,1], [16,1,1,...,1] (17 1's), and [1,1,...,1] (33 1's)).
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MAPLE
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g:=-1+1/product(1-x^(j^4), j=1..10): gser:=series(g, x=0, 105): seq(coeff(gser, x, n), n=1..102); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 06 2006
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CROSSREFS
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Cf. A000583, A002377.
Sequence in context: A056811 A097430 A054900 this_sequence A071841 A097876 A111859
Adjacent sequences: A046039 A046040 A046041 this_sequence A046043 A046044 A046045
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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