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Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^j).
4

%I #8 Aug 20 2019 16:19:57

%S 1,1,1,2,4,5,8,11,15,24,34,43,63,87,115,159,217,279,380,505,657,868,

%T 1139,1458,1913,2482,3162,4069,5232,6628,8469,10755,13544,17127,21634,

%U 27061,33988,42557,52985,66069,82289,101862,126281,156275,192655,237530,292502

%N Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^j).

%H Vaclav Kotesovec, <a href="/A327063/b327063.txt">Table of n, a(n) for n = 0..10000</a>

%t nmax = 50; CoefficientList[Series[Product[Product[(1+x^(k*j))^j, {j, 1, Min[k, nmax/k]}], {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A028377, A192065, A211856, A294842, A280541, A327064, A327065, A327066.

%K nonn

%O 0,4

%A _Vaclav Kotesovec_, Aug 19 2019