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A163068 a(n) = 16*a(n-1) - 59*a(n-2) for n > 1; a(0) = 2, a(1) = 21. 2
2, 21, 218, 2249, 23122, 237261, 2431978, 24913249, 255125282, 2612122821, 26741573498, 273749929529, 2802246036082, 28684690735101, 293622535632778, 3005563816753489, 30765291465721922, 314916398263094901 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Binomial transform of A163067.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..985

Index entries for linear recurrences with constant coefficients, signature (16,-59).

FORMULA

a(n) = ((2+sqrt(5))*(8+sqrt(5))^n + (2-sqrt(5))*(8-sqrt(5))^n)/2.

G.f.: (2-11*x)/(1-16*x+59*x^2).

MATHEMATICA

LinearRecurrence[{16, -59}, {2, 21}, 30] (* G. C. Greubel, Jan 08 2018 *)

PROG

(MAGMA) [ n le 2 select 19*n-17 else 16*Self(n-1)-59*Self(n-2): n in [1..18] ];

(PARI) x='x+O('x^30); Vec((2-11*x)/(1-16*x+59*x^2)) \\ G. C. Greubel, Jan 08 2018

CROSSREFS

Cf. A163067.

Sequence in context: A037743 A037638 A131698 * A109684 A292134 A137287

Adjacent sequences:  A163065 A163066 A163067 * A163069 A163070 A163071

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Jul 20 2009

EXTENSIONS

Definition corrected by Vincenzo Librandi, Dec 18 2010

STATUS

approved

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Last modified April 18 16:51 EDT 2021. Contains 343089 sequences. (Running on oeis4.)