A276286 Number of ways of writing n as a sum of 14 squares.

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

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Sum of Squares Function

Eric Weisstein's World of Mathematics, Jacobi Theta Functions

Index entries for sequences related to sums of squares

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

Adjacent sequences: A276283 A276284 A276285 * A276287 A276288 A276289

Keyword

nonn

Author

Ilya Gutkovskiy, Aug 27 2016

Status

approved