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A009731 Expansion of tan(x)*cosh(log(1+x)). 0

%I #16 May 05 2018 15:27:12

%S 0,1,0,5,-12,96,-480,3968,-29568,283840,-2759040,31139712,-369431040,

%T 4852567552,-67622790144,1018594276352,-16267048304640,

%U 277008597516288,-4982377179119616,94730142262034432,-1894021067538432000

%N Expansion of tan(x)*cosh(log(1+x)).

%F a(n) ~ n! * (-1)^(n+1) * tan(1) / 2. - _Vaclav Kotesovec_, Jan 23 2015

%t CoefficientList[Series[((1 + (1 + x)^2)*Tan[x])/(2*(1 + x)), {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, Jan 23 2015 *)

%t With[{nn=30},CoefficientList[Series[Tan[x]*Cosh[Log[1+x]],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 05 2018 *)

%K sign,easy

%O 0,4

%A _R. H. Hardin_

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

%E First previous Mathematica program replaced by _Harvey P. Dale_, May 05 2018

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Last modified May 12 18:22 EDT 2024. Contains 372494 sequences. (Running on oeis4.)