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A015597 a(n) = 11 a(n-1) + 5 a(n-2). 1
0, 1, 11, 126, 1441, 16481, 188496, 2155861, 24656951, 282005766, 3225348181, 36888858821, 421904187936, 4825390361401, 55188814915091, 631203915873006, 7219187149178521, 82567078220328761, 944333796169508976, 10800507148966242541 (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 (11,5).

FORMULA

a(n) = (1/141)*(11/2 + (1/2)*sqrt(141))^n*sqrt(141) - (1/141)*sqrt(141)*(11/2 - (1/2)*sqrt(141))^n. - Paolo P. Lava, Jul 09 2008

G.f.: x/(1-11*x-5*x^2). - Zerinvary Lajos, Apr 27 2009

MATHEMATICA

Join[{a=0, b=1}, Table[c=11*b+5*a; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 31 2011 *)

LinearRecurrence[{11, 5}, {0, 1}, 30] (* Vincenzo Librandi, Nov 22 2012 *)

PROG

(Sage) [lucas_number1(n, 11, -5) for n in range(0, 18)] # Zerinvary Lajos, Apr 27 2009

(MAGMA) [n le 1 select n else 11*Self(n)+5*Self(n-1): n in [0..30]]; // Vincenzo Librandi, Nov 22 2012

CROSSREFS

Sequence in context: A076483 A209901 A285056 * A296732 A156970 A174270

Adjacent sequences:  A015594 A015595 A015596 * A015598 A015599 A015600

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

EXTENSIONS

Entries verified by Neven Juric (neven.juric(AT)apis-it.hr), Jan 28 2008

STATUS

approved

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Last modified August 6 18:25 EDT 2020. Contains 336256 sequences. (Running on oeis4.)