cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A292759 Expansion of e.g.f. exp(x)*(tan x + sec x)^3.

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%I A292759 #15 Jan 05 2025 19:51:41
%S A292759 1,4,16,67,304,1519,8386,51007,340024,2469859,19438606,164899447,
%T A292759 1500636844,14587478299,150891959026,1655133221887,19192311085264,
%U A292759 234597922978339,3015167371458646,40651421300224327,573707768015267284,8458761578948943979,130059537979390701466
%N A292759 Expansion of e.g.f. exp(x)*(tan x + sec x)^3.
%H A292759 C. K. Cook, M. R. Bacon, and R. A. Hillman, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/55-3/CookBaconHillman01222017.pdf">Higher-order Boustrophedon transforms for certain well-known sequences</a>, Fib. Q., 55(3) (2017), 201-208.
%F A292759 a(n) ~ 2^(n + 11/2) * n^(n + 5/2) / (Pi^(n + 5/2) * exp(n - Pi/2)). - _Vaclav Kotesovec_, Jun 02 2019
%t A292759 nmax = 20; CoefficientList[Series[Exp[x]*(Tan[x]+Sec[x])^3, {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Jun 02 2019 *)
%Y A292759 Cf. A000667, A292756.
%K A292759 nonn
%O A292759 0,2
%A A292759 _N. J. A. Sloane_, Sep 26 2017