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%I #9 Aug 01 2019 13:18:53
%S 1,1,7,37,219,1276,7687,46551,285043,1756243,10883842,67751289,
%T 423366831,2654041235,16683909711,105129718102,663837626163,
%U 4199521413019,26610335585263,168864540960165,1073001606214814,6826237566223329,43474472693256491,277152041235941803
%N a(n) = [x^n] Product_{k>=1} 1/(1 - k*x^k)^n.
%H Alois P. Heinz, <a href="/A297329/b297329.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) = A297328(n,n).
%F a(n) ~ c * d^n / sqrt(n), where d = 6.51548390811914394587815688142024783108478... and c = 0.2552310487728179222346375591994440863074... - _Vaclav Kotesovec_, Aug 01 2019
%t Table[SeriesCoefficient[Product[1/(1 - k x^k)^n, {k, 1, n}], {x, 0, n}], {n, 0, 23}]
%Y Main diagonal of A297328.
%Y Cf. A297322, A297324, A297326.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Dec 28 2017