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

0,2

Links

Table of n, a(n) for n=0..84.

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

Formula

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

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

Mathematica

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

Crossrefs

Cf. A294619.

Sequence in context: A369162 A329684 A294619 * A054977 A272901 A078315

Adjacent sequences: A373562 A373563 A373564 * A373566 A373567 A373568

Keyword

nonn,easy

Author

Peter Luschny, Jun 10 2024

Status

approved