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A292761 E.g.f.: (tan x + sec x)^2*(E.g.f. for A000738). 0

%I

%S 0,1,7,38,201,1115,6626,42517,295107,2211892,17849935,154550441,

%T 1430572848,14107448549,147729473099,1637748919090,19167768256629,

%U 236221157717491,3058140944567938,41499024082744529,589093653165279255,8731488105231566648,134896745065585496747

%N E.g.f.: (tan x + sec x)^2*(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 + 13/2) * n^(n + 5/2) / (sqrt(5) * Pi^(n + 5/2) * 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)^3 / Cos[x]^3, {x, 0, nmax}], x] * Range[0, nmax]!] (* _Vaclav Kotesovec_, Jun 02 2019 *)

%Y Cf. A000045, A000738, A292760.

%K nonn

%O 0,3

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

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)