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Search: id:A022314
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A022314 a(n)=a(n-1)+a(n-2)+1. +0
1
0, 9, 10, 20, 31, 52, 84, 137, 222, 360, 583, 944, 1528, 2473, 4002, 6476, 10479, 16956, 27436, 44393, 71830, 116224, 188055, 304280, 492336, 796617, 1288954, 2085572, 3374527, 5460100, 8834628 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = -1+1/2*(1/2+1/2*sqrt(5))^n+19/10*(1/2+1/2*sqrt(5))^n*sqrt(5)-19/10*sqrt(5)*(1/2 -1/2*sqrt(5))^n+1/2*(1/2-1/2*sqrt(5))^n, obtained using PURRS. - Alexander R. Povolotsky (pevnev(AT)juno.com), Apr 22 2008

CROSSREFS

Sequence in context: A041164 A041162 A041691 this_sequence A085949 A102238 A104646

Adjacent sequences: A022311 A022312 A022313 this_sequence A022315 A022316 A022317

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified July 25 02:12 EDT 2008. Contains 142294 sequences.


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