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A142588 A trisection of A000129, the Pell numbers. 3
0, 5, 70, 985, 13860, 195025, 2744210, 38613965, 543339720, 7645370045, 107578520350, 1513744654945, 21300003689580, 299713796309065, 4217293152016490, 59341817924539925, 835002744095575440, 11749380235262596085, 165326326037771920630, 2326317944764069484905 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..850

Index entries for linear recurrences with constant coefficients, signature (14,1).

FORMULA

a(n) = A000129(3n).

G.f.: 5*x/(1-14*x-x^2). a(n) = 5*A041085(n-1). - R. J. Mathar, Sep 22 2008

a(n) = ((-(7-5*sqrt(2))^n+(7+5*sqrt(2))^n))/(2*sqrt(2)). - Colin Barker, Jan 25 2016

MATHEMATICA

LinearRecurrence[{14, 1}, {0, 5}, 20] (* Harvey P. Dale, Jul 05 2019 *)

PROG

(PARI) concat(0, Vec(5*x/(1-14*x-x^2) + O(x^20))) \\ Colin Barker, Jan 25 2016

CROSSREFS

Sequence in context: A034944 A064046 A256235 * A246154 A151471 A077691

Adjacent sequences:  A142585 A142586 A142587 * A142589 A142590 A142591

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Sep 22 2008

EXTENSIONS

Changed offset and extended by R. J. Mathar, Sep 22 2008

STATUS

approved

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Last modified January 27 17:58 EST 2020. Contains 331296 sequences. (Running on oeis4.)