%I #10 Jun 22 2023 07:20:59
%S 1,-1,3,-10,35,-126,462,-1716,6427,-24220,91718,-348712,1330238,
%T -5088916,19515660,-75000600,288772795,-1113688667,4301387580,
%U -16635049690,64410064110,-249659926890,968651123520,-3761601535620,14619516646150,-56861702382576
%N a(n) = [x^n] 1/(Sum_{k>=0} x^(k^3))^n.
%Y Main diagonal of A363779.
%Y Cf. A291700.
%K sign
%O 0,3
%A _Seiichi Manyama_, Jun 21 2023