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arcsin(log(cos(x))) = -(1/2!)*x^2 - (2/4!)*x^4 - (31/6!)*x^6 - (692/8!)*x^8 + ...
0

%I #12 Jun 11 2018 12:37:05

%S 0,1,2,31,692,32821,2182982,220761451,29587628072,5271224958121,

%T 1181874030353162,329170919623534231,110868894348113861852,

%U 44548277847630426340381,21016319125189602127144142,11511508896932068502821046371,7241614305987283988489059076432

%N arcsin(log(cos(x))) = -(1/2!)*x^2 - (2/4!)*x^4 - (31/6!)*x^6 - (692/8!)*x^8 + ...

%F a(n) = -1 * (2n)! [x^(2n)] arcsin(log(cos(x))). - _Alois P. Heinz_, Jun 11 2018

%K nonn

%O 0,3

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E a(0) = 0 prepended by _Sean A. Irvine_, Jun 11 2018