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A276286 Number of ways of writing n as a sum of 14 squares. 4

%I #10 Apr 14 2018 13:09:16

%S 1,28,364,2912,16044,64792,200928,503360,1089452,2186940,4196920,

%T 7544992,12547808,19975256,31553344,48484800,70439852,99602104,

%U 142487436,200569824,268594872,354052608,476105504,630908096,800698080,1008274932,1296257144

%N Number of ways of writing n as a sum of 14 squares.

%H Seiichi Manyama, <a href="/A276286/b276286.txt">Table of n, a(n) for n = 0..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SumofSquaresFunction.html">Sum of Squares Function</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/JacobiThetaFunctions.html">Jacobi Theta Functions</a>

%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>

%F G.f.: theta_3(0,q)^14, where theta_3(x,q) is the third Jacobi theta function.

%t Table[SquaresR[14, n], {n, 0, 26}]

%Y Cf. similar sequences of number of ways of writing n as a sum of k squares listed in A276285.

%Y 14th column of A286815.

%K nonn

%O 0,2

%A _Ilya Gutkovskiy_, Aug 27 2016

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)