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A000152
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Number of ways of writing n as a sum of 16 squares.
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8
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1, 32, 480, 4480, 29152, 140736, 525952, 1580800, 3994080, 8945824, 18626112, 36714624, 67978880, 118156480, 197120256, 321692928, 509145568, 772845120, 1143441760, 1681379200, 2428524096, 3392205824, 4658843520, 6411152640
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 314.
E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, NY, 1985, p. 107.
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
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MAPLE
| (sum(x^(m^2), m=-10..10))^16;
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MATHEMATICA
| Table[SquaresR[16, n], {n, 0, 23}] (* Chandler *)
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CROSSREFS
| Cf. A022047(n)=A000152(2*n).
Sequence in context: A010837 A022724 A125467 * A022069 A203720 A085539
Adjacent sequences: A000149 A000150 A000151 * A000153 A000154 A000155
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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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