A242329 a(n) = 5^n + 4.

5, 9, 29, 129, 629, 3129, 15629, 78129, 390629, 1953129, 9765629, 48828129, 244140629, 1220703129, 6103515629, 30517578129, 152587890629, 762939453129, 3814697265629, 19073486328129, 95367431640629, 476837158203129

Offset

0,1

Comments

Subsequence of A226810. [Bruno Berselli, May 13 2014]

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-5).

Formula

G.f.: (5-21*x)/(((1-x)*(1-5*x)).

a(n) = 6*a(n-1) - 5*a(n-2) for n > 1.

From Elmo R. Oliveira, Dec 06 2023: (Start)

a(n) = A000351(n)+4 = A034474(n)+3 = A242328(n)+2.

a(n) = 5*a(n-1) - 16 with a(0) = 5.

E.g.f.: exp(5*x) + 4*exp(x). (End)

Mathematica

Table[5^n + 4, {n, 0, 30}]

Prog

(Magma) [5^n+4: n in [0..30]];

Crossrefs

Cf. A000351, A003463, A034474, A132079, A178676, A226810, A242328, A253208 (similar sequence).

Sequence in context: A352008 A270595 A303988 * A343420 A214902 A049602

Adjacent sequences: A242326 A242327 A242328 * A242330 A242331 A242332

Keyword

nonn,easy

Author

Vincenzo Librandi, May 13 2014

Status

approved