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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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9
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| 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
| 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
| G.f.: sum(j=-inf..+inf, x^(j^2) )^5. - R. J. Mathar, Jul 31 2007
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MAPLE
| (sum(x^(m^2), m=-10..10))^5;
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MATHEMATICA
| Table[SquaresR[5, n], {n, 0, 46}] (* Chandler *)
SquaresR[5, Range[0, 50]] (* From Harvey P. Dale, Aug 26 2011 *)
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CROSSREFS
| Sequence in context: A104045 A102546 A108777 * A060317 A033583 A131037
Adjacent sequences: A000129 A000130 A000131 * A000133 A000134 A000135
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 28 2006
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