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Search: id:A008451
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| A008451 |
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Number of ways of writing n as a sum of 7 squares. |
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+0
7
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| 1, 14, 84, 280, 574, 840, 1288, 2368, 3444, 3542, 4424, 7560, 9240, 8456, 11088, 16576, 18494, 17808, 19740, 27720, 34440, 29456, 31304, 49728, 52808, 43414, 52248, 68320, 74048, 68376, 71120, 99456, 110964, 89936, 94864, 136080, 145222
(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.
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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))^7;
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[SumOfSquaresR[7, n], {n, 0, 36}] (*Chandler*)
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CROSSREFS
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Sequence in context: A166389 A085036 A107935 this_sequence A033276 A006858 A027818
Adjacent sequences: A008448 A008449 A008450 this_sequence A008452 A008453 A008454
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KEYWORD
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nonn
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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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