A373245 Binomial transform of A135318.
1, 2, 4, 9, 22, 55, 136, 331, 798, 1919, 4620, 11143, 26906, 64987, 156944, 378939, 914822, 2208455, 5331476, 12871151, 31073778, 75019219, 181113240, 437246723, 1055606686, 2548458047, 6152518684, 14853491319, 35859501322, 86572502155, 209004522016
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (4,-5,2,2).
Programs
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Mathematica
CoefficientList[Series[(1 - 2*x + x^2 + x^3)/((1 - 2*x - x^2)*(1 - 2*x + 2*x^2)), {x, 0, 30}], x] (* Vaclav Kotesovec, May 29 2024 *)
Formula
G.f.: (1 - 2*x + x^2 + x^3)/((1 - 2*x - x^2)*(1 - 2*x + 2*x^2)). - Vaclav Kotesovec, May 29 2024
a(n) = A114203(n+1)/2. - Hugo Pfoertner, May 29 2024
E.g.f.: exp(x)*(2*cos(x) + 4*cosh(sqrt(2)*x) + 3*sqrt(2)*sinh(sqrt(2)*x))/6. - Stefano Spezia, May 29 2024
Extensions
More terms from Vaclav Kotesovec, May 29 2024