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A000347 Number of partitions into non-integral powers.
(Formerly M3929 N1616)
+0
1
1, 5, 24, 84, 251, 653, 1543 (list; graph; listen)
OFFSET

4,2

COMMENT

a(n) counts the solutions to the inequality x_1^(1/2)+x_2^(1/2)+x_3^((1/2)+x_4^(1/2)<=n for any four integers 1<=x_1<=x_2<=x_3<=x_4. - R. J. Mathar, Jul 03 2009

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

Sequence in context: A135703 A101147 A006328 this_sequence A089095 A158499 A074085

Adjacent sequences: A000344 A000345 A000346 this_sequence A000348 A000349 A000350

KEYWORD

nonn

AUTHOR

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

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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