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A276286
Number of ways of writing n as a sum of 14 squares.
4
1, 28, 364, 2912, 16044, 64792, 200928, 503360, 1089452, 2186940, 4196920, 7544992, 12547808, 19975256, 31553344, 48484800, 70439852, 99602104, 142487436, 200569824, 268594872, 354052608, 476105504, 630908096, 800698080, 1008274932, 1296257144
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Sum of Squares Function
Eric Weisstein's World of Mathematics, Jacobi Theta Functions
FORMULA
G.f.: theta_3(0,q)^14, where theta_3(x,q) is the third Jacobi theta function.
MATHEMATICA
Table[SquaresR[14, n], {n, 0, 26}]
CROSSREFS
Cf. similar sequences of number of ways of writing n as a sum of k squares listed in A276285.
14th column of A286815.
Sequence in context: A085744 A163719 A138452 * A125440 A122732 A010944
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 27 2016
STATUS
approved