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A190954 a(n) = 10*a(n-1) + 4*a(n-2), with a(0)=0, a(1)=1. 2
0, 1, 10, 104, 1080, 11216, 116480, 1209664, 12562560, 130464256, 1354892800, 14070785024, 146127421440, 1517557354496, 15760083230720, 163671061725184, 1699750950174720, 17652193748647936, 183320941287178240, 1903818187866374144, 19771465643812454400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..970

Index entries for linear recurrences with constant coefficients, signature (10,4).

FORMULA

a(n) = (1/58)*sqrt(29)*((5+sqrt(29))^n-(5-sqrt(29))^n). - Paolo P. Lava, Jun 01 2011

G.f.: x/(1 - 10*x - 4*x^2). - R. J. Mathar, Nov 21 2011

MATHEMATICA

LinearRecurrence[{10, 4}, {0, 1}, 50]

CoefficientList[Series[x/(1-10*x-4*x^2), {x, 0, 50}], x] (* G. C. Greubel, Jan 24 2018 *)

PROG

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-10*x-4*x^2))) \\ G. C. Greubel, Jan 24 2018

(MAGMA) I:=[0, 1]; [n le 2 select I[n] else 10*Self(n-1) + 4*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 24 2018

CROSSREFS

Sequence in context: A027270 A227014 A036334 * A163309 A163165 A110957

Adjacent sequences:  A190951 A190952 A190953 * A190955 A190956 A190957

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 24 2011

STATUS

approved

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Last modified May 17 22:15 EDT 2021. Contains 343992 sequences. (Running on oeis4.)