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Expansion of 1/2 * Product_{0 <= i <= j <= k} (1 + x^(i^2 + j^2 + k^2)).
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%I #12 Nov 09 2018 22:03:30

%S 1,1,1,2,2,3,4,4,5,8,9,11,14,16,21,25,28,35,43,50,60,70,82,98,113,131,

%T 155,182,210,244,283,326,377,432,495,571,657,747,856,979,1112,1269,

%U 1439,1632,1859,2105,2377,2694,3040,3426,3867,4349,4894,5509,6184,6939,7788

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

%H Seiichi Manyama, <a href="/A321424/b321424.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: Product_{k>0} (1 + x^k)^A000164(k).

%Y Cf. A000164, A321381, A321423.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Nov 09 2018