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%I #13 Sep 23 2022 18:44:37
%S 1,1,8,71,1072,20161,476288,13315751,432387712,15959926081,
%T 660372282368,30265936565831,1522069164439552,83327826089289601,
%U 4933286107483701248,314052936209639958311,21392225375507849838592,1552501782546292090638721,119588747474281844162428928
%N E.g.f. 1/(1 - sin(7*x))^(1/7).
%C Generally, for e.g.f. 1/(1-sin(p*x))^(1/p) we have a(n) ~ n! * 2^(n+3/p) * p^n / (Gamma(2/p) * n^(1-2/p) * Pi^(n+2/p)).
%F a(n) ~ n! * 2^(n+3/7) * 7^n / (Gamma(2/7) * n^(5/7) * Pi^(n+2/7)).
%t CoefficientList[Series[1/(1-Sin[7*x])^(1/7), {x, 0, 20}], x] * Range[0, 20]!
%Y Cf. A001586 (p=2), A007788 (p=3), A144015 (p=4), A230134 (p=5), A227544 (p=6), A230114 (p=8).
%K nonn,easy
%O 0,3
%A _Vaclav Kotesovec_, Jan 03 2014
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