A198794 a(n) = 5*6^n - 1.

4, 29, 179, 1079, 6479, 38879, 233279, 1399679, 8398079, 50388479, 302330879, 1813985279, 10883911679, 65303470079, 391820820479, 2350924922879, 14105549537279, 84633297223679, 507799783342079, 3046798700052479, 18280792200314879, 109684753201889279

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), n > 1.

G.f.: ( 4+x ) / ( (6*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

Mathematica

LinearRecurrence[{7, -6}, {4, 29}, 30] (* Harvey P. Dale, Dec 25 2014 *)

Prog

(Magma) [5*6^n-1: n in [0..30]]
(Python)
def a(n):  return 5 * 6**n - 1
print([a(n) for n in range(22)]) # Michael S. Branicky, Apr 29 2021

Crossrefs

Sequence in context: A303464 A301445 A353818 * A258416 A079885 A364404

Adjacent sequences: A198791 A198792 A198793 * A198795 A198796 A198797

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 30 2011

Status

approved