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 A292760 E.g.f.: (tan x + sec x)*(E.g.f. for A000738). 1

%I

%S 0,1,5,20,83,375,1860,10205,61701,409240,2959775,23209055,196266104,

%T 1781241825,17274311925,178313963300,1952338563867,22601633554855,

%U 275867860584620,3540918330014765,47682832410552965,672211363480355880,9901286664553498695,152101199645144064575

%N E.g.f.: (tan x + sec x)*(E.g.f. for A000738).

%D C. K. Cook, M. R. Bacon, and R. A. Hillman, Higher-order Boustrophedon transforms ..., Fib. Q., 55 (No. 3, 2017), 201-208.

%F a(n) ~ sinh(sqrt(5)*Pi/4) * 2^(n + 11/2) * n^(n + 3/2) / (sqrt(5) * Pi^(n + 3/2) * exp(n - Pi/4)). - _Vaclav Kotesovec_, Jun 02 2019

%t nmax = 20; FullSimplify[CoefficientList[Series[2/Sqrt[5] * E^(x/2) * Sinh[Sqrt[5]*x/2] * (Sin[x]+1)^2 / Cos[x]^2, {x, 0, nmax}], x] * Range[0, nmax]!] (* _Vaclav Kotesovec_, Jun 02 2019 *)

%Y Cf. A000045, A000738.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Sep 26 2017

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Last modified December 5 06:30 EST 2021. Contains 349532 sequences. (Running on oeis4.)