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A135365 a(n)=3a(n-1)-a(n-3)+3a(n-4). +0
1
1, 3, 9, 11, 33, 99, 313, 939, 2817 (list; graph; listen)
OFFSET

0,2

FORMULA

3a(n)-a(n+1)=hexaperiodic 0, 0, 16, 0, 0, -16.

a(n) = (1/7)*3^(n+1)+(4/3)*(-1)^n-(16/21)*cos(Pi*n/3)+(16*3^0.5/7)*sin(Pi*n/3). Or, a(n)=(1/7)*3^(n+1)+(1/7)*[4; 12; 36; -4; -12; -36] for n>=0. - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 02 2008

CROSSREFS

Cf. A018282, A027894, A057245, A106305.

Adjacent sequences: A135362 A135363 A135364 this_sequence A135366 A135367 A135368

Sequence in context: A027894 A004668 A106305 this_sequence A088877 A069871 A061957

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Dec 09 2007

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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