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Search: id:A000135
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| A000135 |
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Number of partitions into non-integral powers.
(Formerly M1595 N0622)
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+0
1
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OFFSET
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1,2
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COMMENT
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a(n) counts the solutions to the inequality sum_{i=1,2,..} x_i^(2/3)<=n for any number of distinct integers 1<=x_1<x_2<x_3<x_4<... - R. J. Mathar, Jul 03 2009
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REFERENCES
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B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216.
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LINKS
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B. K. Agarwala, F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216.
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CROSSREFS
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Cf. A000148, A000158, A000160.
Adjacent sequences: A000132 A000133 A000134 this_sequence A000136 A000137 A000138
Sequence in context: A143689 A011891 A003600 this_sequence A065220 A048094 A031872
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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