A196665 Expansion of g.f. (1-6*x)/(1-19*x).

1, 13, 247, 4693, 89167, 1694173, 32189287, 611596453, 11620332607, 220786319533, 4194940071127, 79703861351413, 1514373365676847, 28773093947860093, 546688785009341767, 10387086915177493573, 197354651388372377887, 3749738376379075179853

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (19).

Formula

a(0) = 1, a(n) = 13*19^(n-1) for n>0.

a(n) = Sum_{k=0..n} A193722(n,k)*6^k.

From Elmo R. Oliveira, Mar 18 2025: (Start)

E.g.f.: (13*exp(19*x) + 6)/19.

a(n) = 19*a(n-1) for n > 1. (End)

Crossrefs

Cf. A002001, A193722, A196661, A196662, A196663, A196664.

Sequence in context: A386770 A203156 A049665 * A027400 A053100 A320308

Adjacent sequences: A196662 A196663 A196664 * A196666 A196667 A196668

Keyword

nonn,easy

Author

Philippe Deléham, Oct 05 2011

Status

approved