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A133190
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a(n)=2a(n-1)-a(n-2)+2a(n-3).
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1
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1, 3, 3, 5, 13, 27, 51, 101, 205, 411, 819, 1637, 3277, 6555, 13107, 26213, 52429, 104859, 209715, 419429, 838861, 1677723, 3355443, 6710885, 13421773, 26843547, 53687091, 107374181, 214748365, 429496731, 858993459, 1717986917, 3435973837
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Matthew M. Conroy, Home Page, listed in lieu of email address.
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FORMULA
| O.g.f.: (2*x+1)*(x-1)/((2*x-1)*(x^2+1)). a(n) = (4*2^n+(-1)^[n/2]*A010688(n))/5. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
a(n)=[1/10-(7/10)*I]*I^n+(4/5)*2^n+[1/10+(7/10)*I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 09 2008
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MAPLE
| A010688 := proc(n) if n mod 2 = 0 then 1; else 7; fi ; end: A133190 := proc(n) (4*2^n+(-1)^floor(n/2)*A010688(n))/5 ; end: seq(A133190(n), n=0..30) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 13 2008
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CROSSREFS
| Sequence in context: A142701 A079439 A144419 * A052898 A183483 A095355
Adjacent sequences: A133187 A133188 A133189 * A133191 A133192 A133193
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Dec 17 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Matthew M. Conroy, Jan 13 2008
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