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A015596 a(n) = 11 a(n-1) + 4 a(n-2). 1
0, 1, 11, 125, 1419, 16109, 182875, 2076061, 23568171, 267554125, 3037368059, 34481265149, 391443388875, 4443802338221, 50447599275931, 572698801388125, 6501477212373099, 73807044541656589, 837883398807714875, 9511945565051489981 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (11,4).

FORMULA

a(n) = -(1/137)*(11/2-(1/2)*sqrt(137))^n*sqrt(137)+(1/137)*(11/2+(1/2)*sqrt(137))^n*sqrt(137). - Paolo P. Lava, Jul 09 2008

G.f.: x/(1-11*x-4*x^2). [Zerinvary Lajos, Dec 20 2008]

MATHEMATICA

Join[{a=0, b=1}, Table[c=11*b+4*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)

LinearRecurrence[{11, 4}, {0, 1}, 30] (* Vincenzo Librandi, Nov 22 2012 *)

PROG

(Sage) [lucas_number1(n, 11, -4) for n in range(0, 18)]# [Zerinvary Lajos, Apr 27 2009]

(MAGMA) [n le 2 select n-1 else 11*Self(n-1) + 4*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Nov 22 2012

CROSSREFS

Sequence in context: A209605 A282755 A242523 * A163310 A240335 A076483

Adjacent sequences:  A015593 A015594 A015595 * A015597 A015598 A015599

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified September 30 05:03 EDT 2020. Contains 337435 sequences. (Running on oeis4.)