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Search: id:A000156
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| A000156 |
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Number of ways of writing n as a sum of 24 squares. |
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+0
2
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| 1, 48, 1104, 16192, 170064, 1362336, 8662720, 44981376, 195082320, 721175536, 2319457632, 6631997376, 17231109824, 41469483552, 93703589760, 200343312768, 407488018512, 793229226336, 1487286966928, 2697825744960, 4744779429216
(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. 107.
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
H. H. Chan and C. Krattenthaler, Recent progress in the study of representations of integers as sums of squares
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))^24;
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MATHEMATICA
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Needs["NumberTheory`NumberTheoryFunctions`"]; Table[SumOfSquaresR[24, n], {n, 0, 20}] (*Chandler*)
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CROSSREFS
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Sequence in context: A014703 A089903 A010839 this_sequence A022077 A010964 A035719
Adjacent sequences: A000153 A000154 A000155 this_sequence A000157 A000158 A000159
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KEYWORD
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nonn,easy
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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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