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Number of ways of writing n as a sum of 32 squares.
2

%I #19 Feb 16 2025 08:33:53

%S 1,64,1984,39680,575424,6448000,58115328,433131008,2724906944,

%T 14709082432,69079796864,285848172800,1054968628480,3515371815296,

%U 10706472186368,30156949879296,79395777333184,197101549419648,464573878394560,1045365667116800,2256126097001600,4689805691447296

%N Number of ways of writing n as a sum of 32 squares.

%H Seiichi Manyama, <a href="/A302856/b302856.txt">Table of n, a(n) for n = 0..10000</a>

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

%H Eric Weisstein's World of Mathematics, <a href="https://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.: (1 + 2 * Sum_{k>=1} q^(k^2))^32.

%Y 32nd column of A286815.

%Y Cf. A302857.

%K nonn,changed

%O 0,2

%A _Seiichi Manyama_, Apr 14 2018