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%I #11 Jan 03 2021 22:58:28
%S 1,1,11,37,563,1695,12255,36333,972867,2946747,18641221,55674771,
%T 691993655,2037484683,12296580999,36106933117,1708708848483,
%U 4955653540051,28943726818665,83124892750711,958302911335293,2730521640247521,15561772451632937,43970981993285115,993588138105790887,2785544697144356207,15601240187271712393,43442724873393477375,482971671644633204159
%N Numerators of coefficients in expansion of Product_{k>=1} 1/(1-x^k)^(k/2).
%C This is the square root of the g.f. for planar partitions (A000219).
%e 1, 1/2, 11/8, 37/16, 563/128, 1695/256, 12255/1024, 36333/2048, 972867/32768, ...
%p mul( 1/(1-x^k)^(k/2),k=1..29) ;
%p taylor(%,x=0,29) ;
%p gfun[seriestolist](%) ;
%p map(numer,%) ; # _R. J. Mathar_, Dec 08 2013
%Y Denominators are A046161. Cf. A000219.
%K nonn,frac
%O 0,3
%A _N. J. A. Sloane_, Dec 07 2013