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Search: id:A000132
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| A000132 |
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Number of ways of writing n as a sum of 5 squares. |
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+0
7
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| 1, 10, 40, 80, 90, 112, 240, 320, 200, 250, 560, 560, 400, 560, 800, 960, 730, 480, 1240, 1520, 752, 1120, 1840, 1600, 1200, 1210, 2000, 2240, 1600, 1680, 2720, 3200, 1480, 1440, 3680, 3040, 2250, 2800, 3280, 4160, 2800, 1920, 4320, 5040, 2800, 3472, 5920
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, NY, 1985, p. 128.
S. C. Milne, Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions and Schur functions, Ramanujan J., 6 (2002), 7-149.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..10000
Index entries for sequences related to sums of squares
S. Cooper, Sums of five, seven and nine squares, Ramanujan J., vol 6, no. 4, (2002) 469-490.
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FORMULA
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G.f.: [sum x^(j^2),j=-infinity..+infinity]^5. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2007
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MAPLE
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(sum(x^(m^2), m=-10..10))^5;
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[SumOfSquaresR[5, n], {n, 0, 46}] (*Chandler*)
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CROSSREFS
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Sequence in context: A104045 A102546 A108777 this_sequence A060317 A033583 A131037
Adjacent sequences: A000129 A000130 A000131 this_sequence A000133 A000134 A000135
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 28 2006
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