

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
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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



