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Search: id:A008452
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| A008452 |
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Number of ways of writing n as a sum of 9 squares. |
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+0
2
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| 1, 18, 144, 672, 2034, 4320, 7392, 12672, 22608, 34802, 44640, 60768, 93984, 125280, 141120, 182400, 262386, 317376, 343536, 421344, 557280, 665280, 703584, 800640, 1068384, 1256562, 1234080, 1421184, 1851264, 2034720, 2057280, 2338560
(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. 121.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 314.
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.
M. Peters, Sums of nine squares, Acta Arith., 102 (2002), 131-135.
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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))^9;
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[SumOfSquaresR[9, n], {n, 0, 32}] (*Chandler*)
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CROSSREFS
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Adjacent sequences: A008449 A008450 A008451 this_sequence A008453 A008454 A008455
Sequence in context: A125355 A126513 A127408 this_sequence A126900 A036397 A027182
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 28 2006
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