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A020717
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Pisot sequences L(6,9), E(6,9).
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1
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6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, 5702888, 9227466, 14930353, 24157818, 39088170, 63245987, 102334156, 165580142
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| a(n) = Fib(n+5)+1. a(n) = 2a(n-1) - a(n-3).
a(n)=1+(5/2)*[1/2+(1/2)*sqrt(5)]^n+(11/10)*[1/2+(1/2)*sqrt(5)]^n*sqrt(5)-(11/10)*sqrt(5)*[1/2-(1 /2)*sqrt(5)]^n+(5/2)*[1/2-(1/2)*sqrt(5)]^n, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 10 2008
a(n)=A020706(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 25 2008]
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CROSSREFS
| Subsequence of A001611, A048577. See A008776 for definitions of Pisot sequences.
Pairwise sums of A018910.
Sequence in context: A134859 A154778 A106350 * A196993 A185398 A139322
Adjacent sequences: A020714 A020715 A020716 * A020718 A020719 A020720
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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