A196663 Expansion of g.f. (1-4*x)/(1-13*x).

1, 9, 117, 1521, 19773, 257049, 3341637, 43441281, 564736653, 7341576489, 95440494357, 1240726426641, 16129443546333, 209682766102329, 2725875959330277, 35436387471293601, 460673037126816813, 5988749482648618569, 77853743274432041397, 1012098662567616538161

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (13).

Formula

a(0) = 1, a(n) = 9*13^(n-1) for n>0.

a(n) = Sum_{k=0..n} A193722(n,k)*4^k.

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

E.g.f.: (9*exp(13*x) + 4)/13.

a(n) = 13*a(n-1). (End)

Crossrefs

Cf. A002001, A193722, A196661, A196662.

Sequence in context: A022607 A139740 A221442 * A292843 A180904 A059967

Adjacent sequences: A196660 A196661 A196662 * A196664 A196665 A196666

Keyword

nonn,easy

Author

Philippe Deléham, Oct 05 2011

Status

approved