%I A013525
%S A013525 1,0,2,30,692,25260,1351382,99680490,9695756072,1202439837720,
%T A013525 185185594118762,34674437196568950,7757267081778543452,
%U A013525 2043536254646561946180,626129820701814932734142,220771946624511552276841410
%N A013525 E.g.f.: x + (gdinv x - sinh x)/2, where gdinv = inverse-Gudermannian. 
               Sequence has odd-indexed coefficients; others are zero.
%C A013525 Also gdinv(x) = log(tan(x)+sec(x)).
%F A013525 For n>0, a(n) = (1/2) * (A000364(n) - 1).
%e A013525 x + (gdinv x - sinh x)/2 = x+2/5!*x^5+30/7!*x^7+692/9!*x^9...
%Y A013525 Sequence in context: A099046 A020547 A160694 this_sequence A114938 A082653 
               A140174
%Y A013525 Adjacent sequences: A013522 A013523 A013524 this_sequence A013526 A013527 
               A013528
%K A013525 nonn,easy
%O A013525 0,3
%A A013525 Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
%E A013525 Definition corrected by Ralf Stephan and Don Reble, Dec 16 2004