%I #6 Oct 08 2021 03:46:21
%S 1,1,-8,129,-2424,87040,-3354000,234927105,-13619579120,1467819193176,
%T -142339701178080,21415200007555200,-2958022926285910560,
%U 605932431017659471440,-110644439905256239190208,32132110188849291391675905,-7427852296898683736690604000
%N Product_{n>=1} (1 + a(n)*x^n/(n!)^2) = BesselI(0,2*sqrt(x)).
%F Product_{n>=1} (1 + a(n)*x^n/(n!)^2) = Sum_{n>=0} x^n/(n!)^2.
%Y Cf. A006973, A137852, A157159, A157164, A348205, A348206.
%K sign
%O 1,3
%A _Ilya Gutkovskiy_, Oct 06 2021