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Search: id:A049440
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| A049440 |
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Fib(3n)^2 - 2*Fib(3n) + 4*Fib(3n+1) + 5. |
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+0
1
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| 9, 17, 105, 1313, 21385, 374833, 6688617, 119863873, 2150198793, 38580909137, 692294282601, 12422665840481, 222915477614473, 4000055027956849, 71778071199324777, 1288005210351490177
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Continued fraction for sqrt(a(n)) has period n.
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FORMULA
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G.f.: (-x^5 - 91*x^4 + 534*x^3 + 370*x^2 - 181*x + 9)/((x^2-18*x+1)*(x^2-1)*(x^2+4*x-1)) - Michael Somos.
a(n) = 22a(n-1) - 71a(n-2) - 36a(n-3) + 73a(n-4) + 14a(n-5) - a(n-6).
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CROSSREFS
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Sequence in context: A116526 A015443 A121442 this_sequence A073221 A110462 A132375
Adjacent sequences: A049437 A049438 A049439 this_sequence A049441 A049442 A049443
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KEYWORD
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nonn,cofr
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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