The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A292756

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A292756

Expansion of e.g.f. exp(x)*(tan(x)+sec(x))^2.
(history; published version)

#13 by Michael De Vlieger at Fri Sep 29 12:01:28 EDT 2023

STATUS

reviewed

approved

#12 by Andrew Howroyd at Fri Sep 29 11:50:21 EDT 2023

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proposed

reviewed

#11 by Michel Marcus at Fri Sep 29 11:45:10 EDT 2023

STATUS

editing

proposed

#10 by Michel Marcus at Fri Sep 29 11:45:04 EDT 2023

LINKS

C. K. Cook, M. R. Bacon, and R. A. Hillman, <a href="https://www.fq.math.ca/AbstractsPapers1/55-3/cookCookBaconHillman01222017.pdf">Higher-order Boustrophedon transforms for certain well-known sequences</a>, Fib. Q., 55(3) (2017), 201-208.

STATUS

approved

editing

#9 by Joerg Arndt at Fri Mar 10 02:32:01 EST 2023

STATUS

proposed

approved

#8 by Michel Marcus at Fri Mar 10 02:28:03 EST 2023

STATUS

editing

proposed

#7 by Michel Marcus at Fri Mar 10 02:27:58 EST 2023

NAME

EExpansion of e.g.f.: exp(x)*(tan(x)+sec(x))^2.

REFERENCES

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

LINKS

C. K. Cook, M. R. Bacon, and R. A. Hillman, <a href="https://www.fq.math.ca/Abstracts/55-3/cook.pdf">Higher-order Boustrophedon transforms for certain well-known sequences</a>, Fib. Q., 55(3) (2017), 201-208.

STATUS

approved

editing

#6 by Vaclav Kotesovec at Sun Jun 02 04:01:43 EDT 2019

STATUS

editing

approved

#5 by Vaclav Kotesovec at Sun Jun 02 04:01:37 EDT 2019

FORMULA

a(n) ~ 2^(n + 9/2) * n^(n + 3/2) / (Pi^(n + 3/2) * exp(n - Pi/2)). - Vaclav Kotesovec, Jun 02 2019

#4 by Vaclav Kotesovec at Sun Jun 02 03:57:30 EDT 2019

MATHEMATICA

nmax = 20; CoefficientList[Series[Exp[x]*(Tan[x]+Sec[x])^2, {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Jun 02 2019 *)

STATUS

approved

editing