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%I #13 Sep 23 2022 18:45:00
%S 1,1,4,37,424,6241,113824,2460277,61504384,1746727201,55545439744,
%T 1955176596517,75470959673344,3169939381277761,143927870364811264,
%U 7024566555751464757,366742587098140770304,20394984041632355113921,1203587891190987380752384,75124090160952970927512997
%N E.g.f. 1/(1 - sinh(3*x))^(1/3).
%C Generally, for e.g.f. 1/(1-sinh(p*x))^(1/p) we have a(n) ~ n! * p^n / (Gamma(1/p) * 2^(1/(2*p)) * n^(1-1/p) * (arcsinh(1))^(n+1/p)).
%F a(n) ~ n! * 3^n / (Gamma(1/3) * 2^(1/6) * n^(2/3) * (log(1+sqrt(2)))^(n+1/3)).
%t CoefficientList[Series[1/(1-Sinh[3*x])^(1/3), {x, 0, 20}], x] * Range[0, 20]!
%Y Cf. A235134, A007788, A235132.
%K nonn,easy
%O 0,3
%A _Vaclav Kotesovec_, Jan 03 2014
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