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A000160 Number of partitions into non-integral powers.
(Formerly M1835 N0729)
4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
4,2
COMMENTS
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
REFERENCES
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).
LINKS
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]
CROSSREFS
Sequence in context: A141582 A192692 A182704 * A034519 A014409 A303721
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Oct 11 2009
STATUS
approved

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Last modified March 29 05:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)