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Search: id:A049682
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A049682 a(n)=(L(8n)-2)/45, where L=A000032 (the Lucas sequence). +0
3
0, 1, 49, 2304, 108241, 5085025, 238887936, 11222647969, 527225566609, 24768378982656 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 1/45*{-2+[(47+7*sqrt(45))/2]^n+[(47-7*sqrt(45))/2]^n}. - R. Stephan, Apr 14 2004

a(n)=(A004187(n))^2 = 48*a(n-1)-48*a(n-2)+a(n-3). G.f.: -x*(1+x)/((x-1)*(x^2-47*x+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 03 2009]

PROGRAM

(Mupad) numlib::fibonacci(4*n)^2/9 $ n = 0..25; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2008

CROSSREFS

Sequence in context: A065785 A163927 A061615 this_sequence A120999 A087752 A069741

Adjacent sequences: A049679 A049680 A049681 this_sequence A049683 A049684 A049685

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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