A373565 Expansion of x + 1/(1 - x).

1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 0

Author

Peter Luschny, Jun 10 2024

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (1).

Crossrefs

Cf. A294619.

Programs

Mathematica

CoefficientList[Series[x + 1/(1 - x), {x, 0, 105}], x] (* Michael De Vlieger, Jun 10 2024 *)

Formula

a(n) = [x^n] (x^2 - x - 1) / (x - 1).

E.g.f.: exp(x) + x. - Stefano Spezia, Jun 10 2024