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A114619 a(n) = 2*A079291(n) (twice squares of Pell numbers). 2
0, 2, 8, 50, 288, 1682, 9800, 57122, 332928, 1940450, 11309768, 65918162, 384199200, 2239277042, 13051463048, 76069501250, 443365544448, 2584123765442, 15061377048200, 87784138523762, 511643454094368 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
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
Sequence in context: A136226 A046165 A227264 * A027047 A034491 A360949
KEYWORD
easy,nonn
AUTHOR
Creighton Dement, Feb 17 2006
EXTENSIONS
Entry revised by N. J. A. Sloane, Mar 15 2024
STATUS
approved

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Last modified April 12 22:48 EDT 2024. Contains 371639 sequences. (Running on oeis4.)