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Search: id:A135344
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| A135344 |
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a(n)=3a(n-1)-a(n-3)+3a(n-4). |
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+0
1
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| 1, 1, 1, 1, 5, 17, 53, 157, 469, 1405, 4217, 12653, 37961
(list; graph; listen)
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OFFSET
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0,5
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FORMULA
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3a(n)-a(n+1)=hexaperiodic 2, 2, 2, -2, -2, -2 = 2*A130151.
a(n)=(1/14)*3^n+(1/6)*(-1)^n+(16/21)*cos(Pi*n/3)+(8*3^0.5/21)*sin(Pi*n/3), or a(n)=(1/14)*3^n+(1/14)*[13; 11; 5; -13; -11; -5]. - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 02 2008
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CROSSREFS
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Cf. A007395.
Sequence in context: A107167 A110318 A088210 this_sequence A027028 A048473 A097160
Adjacent sequences: A135341 A135342 A135343 this_sequence A135345 A135346 A135347
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Dec 06 2007
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