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Search: id:A135345
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A135345 a(n)=3a(n-1)+4a(n-2)-a(n-3)+3a(n-4)+4a(n-5). +0
3
1, 4, 13, 51, 204, 819, 3277 (list; graph; listen)
OFFSET

0,2

COMMENT

Companion to A135343.

FORMULA

5a(n) = 3^n + hexaperiodic 1, 4, 1, -1, -4, -1 ; 4a(n)-a(n+1) = hexaperiodic 0, 3, 1, 0, -3, -1,A135297.

a(n) = (4^(n+1)/5)-(2/15)*(-1)^n+(1/3)*cos(Pi*n/3)+(3^0.5/3)*cos(Pi*n/3). - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 04 2008

CROSSREFS

Adjacent sequences: A135342 A135343 A135344 this_sequence A135346 A135347 A135348

Sequence in context: A144035 A056277 A082951 this_sequence A097169 A129147 A140454

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Dec 06 2007

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Last modified October 6 16:09 EDT 2008. Contains 144667 sequences.


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