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A097512 6*Lucas(2n) - Fib(2n+2). +0
1
11, 15, 34, 87, 227, 594, 1555, 4071, 10658, 27903, 73051, 191250, 500699, 1310847, 3431842, 8984679 (list; graph; listen)
OFFSET

0,1

COMMENT

Sequence relates bisections of Lucas and Fibonacci numbers.

LINKS

Tanya Khovanova, Recursive Sequences

FORMULA

a(n) = 8*Lucas(2n) - Lucas(2n+2) - 2*Fib(2n-1) = 8*A005248(n) - A005248(n+1) - 2*A001519(n).

a(n+1)/a(n) approaches the golden ratio phi + 1 = (3+sqrt(5))/2.

CROSSREFS

Cf. A005248, A005248, A022133.

Adjacent sequences: A097509 A097510 A097511 this_sequence A097513 A097514 A097515

Sequence in context: A009433 A030099 A085597 this_sequence A032490 A068483 A115779

KEYWORD

nonn

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Aug 26 2004

EXTENSIONS

New definition from Ralf Stephan, Dec 01, 2004

page 1

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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