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.
%I A384335 #11 May 28 2025 01:05:53 %S A384335 1,882,150822,14431284,1052738694,65805858972,3724625506140, %T A384335 196735568051880,9876433300259526,476865669055691916, %U A384335 22326189769485093492,1019514155600973935448,45604820017276687744668,2004918589790139365901720,86848896758228990302070520,3714470212008822424691576400 %N A384335 Expansion of g.f.: cosh(7*arctanh(6*sqrt(x))). %F A384335 a(n) = 9^n*(512*n^3 + 64*n^2 + 144*n + 15)*(2*n)!/(15*(n!)^2). %F A384335 G.f.: (1 + 756*x + 45360*x^2 + 326592*x^3)/(-36*x + 1)^(7/2). %F A384335 E.g.f.: (1/5)*exp(18*x)*((5 + 4320*x + 290304*x^2 + 3981312*x^3)*BesselI(0,18*x)+((864*x + 179712*x^2 + 3981312*x^3)*BesselI(1,18*x))). %t A384335 CoefficientList[Series[Cosh[7*ArcTanh[6*Sqrt[x]]],{x,0,15}],x] (* _Stefano Spezia_, May 26 2025 *) %Y A384335 Cf. A383928. %K A384335 nonn %O A384335 0,2 %A A384335 _Karol A. Penson_, May 26 2025