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Search: id:A138574
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A138574 a(0)=0,a(1)=1,a(2)=2,a(3)=6 then a(n+4)=2a(n+3)+2a(n+2)+2a(n+1)-a(n). +0
1
0, 1, 2, 6, 15, 45, 130, 376, 1088, 3145, 9089, 26270, 75920, 219412, 634115, 1832625, 5296384, 15306834, 44237569, 127848949, 369490321, 1067846844, 3086134658, 8919094697, 25776662079, 74495936026, 215297250946, 622220603404 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=round(w^n/4*(1+1/sqrt(5))) where w=(1+r)/(1-r)=2.89005363826396... and r=sqrt(sqrt(5)-2)=0.485868271756...

CROSSREFS

Cf. A071101.

Sequence in context: A151515 A052870 A001444 this_sequence A045628 A127383 A047870

Adjacent sequences: A138571 A138572 A138573 this_sequence A138575 A138576 A138577

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 12 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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