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A009071 Expansion of e.g.f. cos(tan(x))*x, odd terms only. 1

%I #18 Jul 24 2018 21:22:49

%S 1,-3,-35,-679,-18567,-587499,-9780459,2502478065,742659420913,

%T 178572619407021,44455465546363725,12065488445289701385,

%U 3615507259471920747625,1195750896202918862106309,433676146678880946251117189,170620060022539628512713371809

%N Expansion of e.g.f. cos(tan(x))*x, odd terms only.

%H G. C. Greubel, <a href="/A009071/b009071.txt">Table of n, a(n) for n = 0..240</a>

%F a(n) = (2*n+1)! * [x^(2*n+1)] cos(tan(x))*x. - _Alois P. Heinz_, Oct 01 2012

%t With[{nn=40},Take[CoefficientList[Series[Cos[Tan[x]]*x,{x,0,nn}],x] Range[0,nn-1]!, {2,-1,2}]] (* _Harvey P. Dale_, Oct 01 2012 *)

%o (PARI) x='x+O('x^50); v=Vec(serlaplace(x*cos(tan(x)))); vector((#v-1)\2 ,n,v[2*n-1]) \\ _G. C. Greubel_, Jul 24 2018

%K sign

%O 0,2

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997

%E More terms from _Harvey P. Dale_, Oct 01 2012

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Last modified May 7 04:00 EDT 2024. Contains 372300 sequences. (Running on oeis4.)