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A114619

a(n) = 2*A079291(n) (twice squares of Pell numbers).

0, 2, 8, 50, 288, 1682, 9800, 57122, 332928, 1940450, 11309768, 65918162, 384199200, 2239277042, 13051463048, 76069501250, 443365544448, 2584123765442, 15061377048200, 87784138523762, 511643454094368

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OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,5,-1).

FORMULA

a(n) = 2*A000129(n)^2.

G.f.: 2*x*(1-x)/((1+x)*(1-6*x+x^2)).

a(n) = A001333(n)^2 - (-1)^n. - Antonio Pane (apane1(AT)spc.edu), Dec 15 2007

MATHEMATICA

2*Fibonacci[Range[0, 30], 2]^2 (* G. C. Greubel, Aug 18 2022 *)

PROG

(Magma) [n le 3 select 2*(n-1)^2 else 5*Self(n-1) +5*Self(n-2) -Self(n-3): n in [1..31]]; // G. C. Greubel, Aug 18 2022

(SageMath) [2*lucas_number1(n, 2, -1)^2 for n in (0..30)] # G. C. Greubel, Aug 18 2022

CROSSREFS

Cf. A000129, A001109, A001333, A001542, A079291.

Cf. also A090390, A108475, A114619, A116484.

Sequence in context: A046165 A227264 A373865 * A382322 A027047 A034491

Adjacent sequences: A114616 A114617 A114618 * A114620 A114621 A114622

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Feb 17 2006

EXTENSIONS

Entry revised by N. J. A. Sloane, Mar 15 2024

STATUS

approved

URL: https://oeis.org/A114619

⇱ A114619 - OEIS