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A083077 Fifth row of number array A083075. 5
1, 9, 97, 1065, 11713, 128841, 1417249, 15589737, 171487105, 1886358153, 20749939681, 228249336489, 2510742701377, 27618169715145, 303799866866593, 3341798535532521, 36759783890857729, 404357622799435017 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 11 18:37 EDT 2020. Contains 336428 sequences. (Running on oeis4.)