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A292761 E.g.f.: (tan x + sec x)^2*(E.g.f. for A000738). 0
0, 1, 7, 38, 201, 1115, 6626, 42517, 295107, 2211892, 17849935, 154550441, 1430572848, 14107448549, 147729473099, 1637748919090, 19167768256629, 236221157717491, 3058140944567938, 41499024082744529, 589093653165279255, 8731488105231566648, 134896745065585496747 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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

LINKS

Table of n, a(n) for n=0..22.

FORMULA

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

MATHEMATICA

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 *)

CROSSREFS

Cf. A000045, A000738, A292760.

Sequence in context: A099461 A104553 A027241 * A226200 A056197 A348457

Adjacent sequences:  A292758 A292759 A292760 * A292762 A292763 A292764

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 26 2017

STATUS

approved

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Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)