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A000148 Number of partitions into non-integral powers.
(Formerly M1743 N0691)
+0
3
1, 2, 7, 15, 28, 45, 70, 100, 138 (list; graph; listen)
OFFSET

2,2

COMMENT

a(n) counts the solutions to the inequality x_1^(2/3)+x_2^(2/3)<=n for any two integers 1<=x_1<=x_2. - 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.

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.

CROSSREFS

Adjacent sequences: A000145 A000146 A000147 this_sequence A000149 A000150 A000151

Sequence in context: A113422 A061802 A003452 this_sequence A147672 A095091 A131412

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified July 4 09:27 EDT 2009. Contains 160562 sequences.


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