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Search: id:A135266
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| A135266 |
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Based on a(n)=3a(n-1)-a(n-3)+3a(n-4).From 0,sum of 1, 4, 14,A132357. |
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+0
1
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| 0, 1, 5, 19, 60, 182, 546, 1639, 4919, 14761, 44286, 132860, 398580
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n+1)-3a(n)= hexaperiodic 0, 1, 2, 4, 3, 2 ;also from 0, sum of ( 1, 1, 2, -1, -1, -2 = A132337 ).Note that 1, 1, 2, -1, -1, -2 appears in A132357=b(n):b(n+1)-3b(n)= 1, 2, -1, -1, -2, 1 .
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FORMULA
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a(n) = (1/4)*3^(n+1)-(1/12)*(-1)^n+(1/3)*cos(Pi*n/3)-(3^0.5/3)*sin (Pi*n/3)-1. Or, a(n)=(1/4)*3^(n+1)+(1/4)*[ -3; -5; -7; -5; -3; -1] for n>=0. - Richard Choulet (richardchoulet(AT)yahoo.fr), Jan 02 2008
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CROSSREFS
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Sequence in context: A029861 A107179 A092442 this_sequence A124123 A128638 A036630
Adjacent sequences: A135263 A135264 A135265 this_sequence A135267 A135268 A135269
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Dec 02 2007
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