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A135353 a(n)=3a(n-1)-3a(n-2)+2a(n-3). +0
2
2, -3, 3, 22, 51, 93, 170, 333, 675, 1366 (list; graph; listen)
OFFSET

0,1

COMMENT

Sequence identical to its third differences. "Self-transform". Initial terms are transform's coefficients .

FORMULA

2^(n+3)-3a(n)=hexaperiodic 2, 25, 23, -2, -25, -23;a(n+1)- 2a(n)=hexaperiodic -7, 9, 16, 7, -9, -16.

a(n) =(8/3)*2^n-(2/3)*cos(Pi*n/3)-(16*3^0.5/3)*sin(Pi*n/3). - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 02 2008

CROSSREFS

Sequence in context: A057676 A062168 A019229 this_sequence A084956 A100650 A096502

Adjacent sequences: A135350 A135351 A135352 this_sequence A135354 A135355 A135356

KEYWORD

sign

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Dec 07 2007

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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