A083077 Fifth row of number array A083075.

1, 9, 97, 1065, 11713, 128841, 1417249, 15589737, 171487105, 1886358153, 20749939681, 228249336489, 2510742701377, 27618169715145, 303799866866593, 3341798535532521, 36759783890857729, 404357622799435017

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (12,-11).

Formula

a(n) = (4*11^n + 1)/5.

G.f.: (1-3*x)/((1-x)*(1-11*x)).

E.g.f.: (4*exp(11*x) + exp(x))/5.

a(n) = 11*a(n-1) - 2, a(n) = 12*a(n-1) - 11*a(n-2). - Vincenzo Librandi, Nov 10 2011

Mathematica

LinearRecurrence[{12, -11}, {1, 9}, 30] (* Harvey P. Dale, Jun 14 2015 *)

Prog

(Magma) [(4*11^n+1)/5: n in [0..30]]; // Vincenzo Librandi, Nov 10 2011

Crossrefs

Cf. A083076, A066443, A083078.

Sequence in context: A155601 A241771 A180675 * A194725 A218500 A293986

Adjacent sequences: A083074 A083075 A083076 * A083078 A083079 A083080

Keyword

nonn,easy

Author

Paul Barry, Apr 23 2003

Status

approved