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A009667 E.g.f. tan(sin(x))*x, even numbered terms only. 2

%I #18 Mar 11 2019 12:38:31

%S 0,2,4,-18,-856,-10950,502764,42386918,552455120,-212988964878,

%T -23803145936300,497029073217886,554580759766596984,

%U 68481112266792124458,-10157252026016020122820

%N E.g.f. tan(sin(x))*x, even numbered terms only.

%H Robert Israel, <a href="/A009667/b009667.txt">Table of n, a(n) for n = 0..250</a>

%F a(n) = 2*A024225(n). [_Martin Ettl_, Nov 08 2012]

%F a(n) = (2*n)!*[x^(2*n)] tan(sin(x))*x. - _Robert Israel_, Mar 11 2019

%p S:= series(x*tan(sin(x)),x,61):

%p seq(n!*coeff(S,x,n),n=0..60,2); # _Robert Israel_, Mar 11 2019

%t nn = 30; t = Range[0, nn]! CoefficientList[Series[Tan[Sin[x]]*x, {x, 0, nn}], x]; Take[t, {1, nn, 2}] (* _T. D. Noe_, Nov 08 2012 *)

%Y Cf. A024225.

%K sign

%O 0,2

%A _R. H. Hardin_

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

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Last modified April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)