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Search: id:A000152
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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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+0
3
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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
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OFFSET
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0,2
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REFERENCES
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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
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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
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MAPLE
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(sum(x^(m^2), m=-10..10))^16;
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[SumOfSquaresR[16, n], {n, 0, 23}] (*Chandler*)
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CROSSREFS
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Cf. A022047(n)=A000152(2*n).
Sequence in context: A010837 A022724 A125467 this_sequence A022069 A085539 A091364
Adjacent sequences: A000149 A000150 A000151 this_sequence A000153 A000154 A000155
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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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