A199411 8*6^n+1.

9, 49, 289, 1729, 10369, 62209, 373249, 2239489, 13436929, 80621569, 483729409, 2902376449, 17414258689, 104485552129, 626913312769, 3761479876609, 22568879259649, 135413275557889, 812479653347329, 4874877920083969, 29249267520503809

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-6).

Formula

a(n) = 6*a(n-1)-5.

a(n) = 7*a(n-1)-6*a(n-2).

G.f.: (9-14*x)/((1-x)*(1-6*x)).

Mathematica

LinearRecurrence[{7, -6}, {9, 49}, 30] (* Harvey P. Dale, Aug 21 2016 *)

Prog

(Magma) [8*6^n+1: n in [0..30]];

Crossrefs

Sequence in context: A231178 A359204 A090390 * A069665 A188235 A286810

Adjacent sequences: A199408 A199409 A199410 * A199412 A199413 A199414

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 06 2011

Status

approved