A302856 Number of ways of writing n as a sum of 32 squares.

1, 64, 1984, 39680, 575424, 6448000, 58115328, 433131008, 2724906944, 14709082432, 69079796864, 285848172800, 1054968628480, 3515371815296, 10706472186368, 30156949879296, 79395777333184, 197101549419648, 464573878394560, 1045365667116800, 2256126097001600, 4689805691447296

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.: (1 + 2 * Sum_{k>=1} q^(k^2))^32.

Crossrefs

32nd column of A286815.

Cf. A302857.

Sequence in context: A116133 A010841 A226558 * A022085 A017780 A324492

Adjacent sequences: A302853 A302854 A302855 * A302857 A302858 A302859

Keyword

nonn

Author

Seiichi Manyama, Apr 14 2018

Status

approved