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A000160
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Number of partitions into non-integral powers.
(Formerly M1835 N0729)
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2
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1, 2, 8, 21, 48, 99, 186, 330, 556, 895, 1397, 2107, 3097, 4459, 6264, 8644, 11760, 15742, 20790, 27128, 34993, 44664, 56473, 70784, 87995, 108564, 132970, 161828, 195686, 235274, 281349, 334682, 396202, 466849, 547712, 639935, 744716, 863443
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OFFSET
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4,2
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COMMENTS
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a(n) counts the solutions to the inequality x_1^(2/3)+x_2^(2/3)+x_3^(2/3)+x_4^(2/3)<=n for any four 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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=4..41.
B. K. Agarwala, F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216.
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. [Annotated scanned copy]
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CROSSREFS
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Sequence in context: A141582 A192692 A182704 * A034519 A014409 A109782
Adjacent sequences: A000157 A000158 A000159 * A000161 A000162 A000163
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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More terms from Sean A. Irvine, Oct 11 2009
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STATUS
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approved
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