A199419 a(n) = 4*7^n+1.

5, 29, 197, 1373, 9605, 67229, 470597, 3294173, 23059205, 161414429, 1129900997, 7909306973, 55365148805, 387556041629, 2712892291397, 18990246039773, 132931722278405, 930522055948829, 6513654391641797, 45595580741492573, 319169065190448005, 2234183456333136029

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-7).

Formula

a(n) = 7*a(n-1)-6.

a(n) = 8*a(n-1)-7*a(n-2).

G.f.: (5-11*x)/((1-x)*(1-7*x)).

E.g.f.: exp(x) + 4*exp(7*x). - Stefano Spezia, Jul 15 2026

Mathematica

4*7^Range[0, 25] + 1 (* Paolo Xausa, Jul 15 2026 *)

Prog

(Magma) [4*7^n+1: n in [0..30]];

Crossrefs

Cf. A000420.

Sequence in context: A306932 A201856 A201115 * A094710 A367050 A394880

Adjacent sequences: A199416 A199417 A199418 * A199420 A199421 A199422

Keyword

nonn,easy,changed

Author

Vincenzo Librandi, Nov 06 2011

Status

approved