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A190957 a(n) = 10*a(n-1) + 8*a(n-2), with a(0)=0, a(1)=1. 3
0, 1, 10, 108, 1160, 12464, 133920, 1438912, 15460480, 166116096, 1784844800, 19177376768, 206052526080, 2213944274944, 23787862958080, 255590183780352, 2746204741468160, 29506768884924416, 317037326780989440, 3406427418889289728, 36600572803140812800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..965

Index entries for linear recurrences with constant coefficients, signature (10,8).

FORMULA

a(n) = (1/66) *sqrt(33) *((5+sqrt(33))^n - (5-sqrt(33))^n). - Paolo P. Lava, Jun 01 2011

G.f.: x/(1 - 10*x - 8*x^2). - R. J. Mathar, Jun 01 2011

MATHEMATICA

LinearRecurrence[{10, 8}, {0, 1}, 50]

CoefficientList[Series[x/(1-10*x-8*x^2), {x, 0, 50}], x] (* G. C. Greubel, Jan 15 2018 *)

PROG

(PARI) x='x+O('x^30); concat([0], Vec(x/(1-10*x-8*x^2))) \\ G. C. Greubel, Jan 15 2018

(MAGMA) I:=[0, 1]; [n le 2 select I[n] else 10*Self(n-1) + 8*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 15 2018

CROSSREFS

Sequence in context: A218061 A157084 A059524 * A163206 A246073 A261920

Adjacent sequences:  A190954 A190955 A190956 * A190958 A190959 A190960

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 24 2011

STATUS

approved

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Last modified February 25 03:06 EST 2018. Contains 299630 sequences. (Running on oeis4.)