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%I #12 Jun 29 2020 09:50:22
%S 0,1,9,44,164,485,1278,2949,6382,12661,24101,43063,74932,124041,
%T 201597,315048,485627,724514,1071104,1539099,2197385,3062512,4246873,
%U 5765303,7804391,10359671,13728320,17882076,23264374,29792631,38154696
%N Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^8 *product_{i=1..t} (1-x^i) ).
%H G. E. Andrews, <a href="http://www.mat.univie.ac.at/~slc/s/s42andrews.html">Some debts I owe</a>, Séminaire Lotharingien de Combinatoire, Paper B42a, Issue 42, 2000; see (7.4).
%p Mk := proc(k) -1*add( (-1)^n*q^(n*(n+1)/2)/(1-q^n)^k/mul(1-q^i,i=1..n), n=1..101): end; # with k=8
%Y Cf. A000005 (k=1), A059819 (k=2), A059820 (k=3), ..., A059825 (k=8).
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Feb 24 2001