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A341394 Expansion of (-1 + Product_{k>=1} (1 + x^k)^k)^10.

%I A341394 #8 Feb 10 2021 19:05:32
%S A341394 1,20,230,1940,13285,77944,405250,1910330,8300380,33655860,128574734,
%T A341394 466317760,1615509765,5373215450,17230062315,53457917856,160963157005,
%U A341394 471587847690,1347417640405,3761860656610,10280578499844,27543107112940,72440412567485
%N A341394 Expansion of (-1 + Product_{k>=1} (1 + x^k)^k)^10.
%H A341394 Alois P. Heinz, <a href="/A341394/b341394.txt">Table of n, a(n) for n = 10..10000</a>
%p A341394 g:= proc(n) option remember; `if`(n=0, 1, add(g(n-j)*add(d^2/
%p A341394      `if`(d::odd, 1, 2), d=numtheory[divisors](j)), j=1..n)/n)
%p A341394     end:
%p A341394 b:= proc(n, k) option remember; `if`(k=0, 1, `if`(k=1, `if`(n=0, 0,
%p A341394       g(n)), (q-> add(b(j, q)*b(n-j, k-q), j=0..n))(iquo(k, 2))))
%p A341394     end:
%p A341394 a:= n-> b(n, 10):
%p A341394 seq(a(n), n=10..32);  # _Alois P. Heinz_, Feb 10 2021
%t A341394 nmax = 32; CoefficientList[Series[(-1 + Product[(1 + x^k)^k, {k, 1, nmax}])^10, {x, 0, nmax}], x] // Drop[#, 10] &
%Y A341394 Cf. A026007, A321955, A327388, A341384, A341385, A341386, A341387, A341388, A341390, A341391, A341393.
%K A341394 nonn
%O A341394 10,2
%A A341394 _Ilya Gutkovskiy_, Feb 10 2021