login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8...
2

%I #10 Nov 28 2015 13:12:50

%S 0,2,16,152,-5504,-865888,-49313024,10192998272,4634262163456,

%T 729893872005632,-280859292338008064,-286057930617679095808,

%U -94104910901654903619584,51677977224364973979901952

%N arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8...

%H Vaclav Kotesovec, <a href="/A012391/b012391.txt">Table of n, a(n) for n = 0..220</a>

%t With[{nn=30},Take[CoefficientList[Series[ArcSinh[Tan[x]^2],{x,0,nn}],x] Range[0,nn]!,{1,-1,2}]] (* _Harvey P. Dale_, Dec 14 2014 *)

%K sign

%O 0,2

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

%E Prepended a(0)=0 by _Vaclav Kotesovec_, Nov 28 2015