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A013377 sin(sin(x)-arcsinh(x)) = -8/5!*x^5+224/7!*x^7-11024/9!*x^9... 1

%I #9 Nov 01 2013 16:29:12

%S 0,0,-8,224,-11024,893024,-108056024,18326044736,-4143959973152,

%T 1203673701847616,-436556568694967720,193325069835999174688,

%U -102646741662885247765552,64363759451798102692787104

%N sin(sin(x)-arcsinh(x)) = -8/5!*x^5+224/7!*x^7-11024/9!*x^9...

%H Alois P. Heinz, <a href="/A013377/b013377.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) ~ (-1)^(n+1) * cosh(Pi/2-sinh(1)) * 2^(2*n+1) * n^(2*n) / exp(2*n). - _Vaclav Kotesovec_, Nov 01 2013

%t Table[n!*SeriesCoefficient[Sin[Sin[x]-ArcSinh[x]],{x,0,n}],{n,1,41,2}] (* _Vaclav Kotesovec_, Nov 01 2013 *)

%K sign

%O 0,3

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

%E Prepended missing a(0)=0, a(1)=0 from _Vaclav Kotesovec_, Nov 01 2013

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)