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Expansion of 1/2 * Product_{i>=0, j>=0, k>=0} (1 + x^(i^2 + j^2 + k^2)).
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%I #11 Nov 08 2018 21:11:42

%S 1,3,6,11,18,33,59,96,150,230,357,552,825,1203,1749,2541,3666,5208,

%T 7302,10212,14250,19738,27093,36936,50203,68034,91665,122763,163731,

%U 217740,288621,380922,500652,655987,857226,1116798,1450138,1877232,2423892,3122094,4010883,5139132

%N Expansion of 1/2 * Product_{i>=0, j>=0, k>=0} (1 + x^(i^2 + j^2 + k^2)).

%H Seiichi Manyama, <a href="/A321381/b321381.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: Product_{k>0} (1 + x^k)^A002102(k).

%Y Cf. A002102, A033461, A321380.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 08 2018