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A048577
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Pisot sequence L(3,4).
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2
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3, 4, 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+3)+1. a(n) = 2a(n-1) - a(n-3).
a(n)=1+[1/2+(1/2)*sqrt(5)]^n+(2/5)*[1/2+(1/2)*sqrt(5)]^n*sqrt(5)-(2/5)*sqrt(5)*[1/2-(1/2) *sqrt(5)]^n+[1/2-(1/2)*sqrt(5)]^n, with n>0=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 10 2008
a(n)=A020706(n-1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 15 2008]
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CROSSREFS
| Subsequence of A001611. See A008776 for definitions of Pisot sequences.
Sequence in context: A030712 A025000 A147790 * A107340 A173270 A018830
Adjacent sequences: A048574 A048575 A048576 * A048578 A048579 A048580
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KEYWORD
| nonn
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AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
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