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Search: id:A088166
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| A088166 |
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Smallest integer divisible by fibonacci(2n) such that second partial quotient in continued fraction expansion of a(n)/phi is 2 (phi is the golden ratio), n>=2. |
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+0 2
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| 12, 72, 504, 3410, 23184, 159094, 1089648, 7465176, 51170460, 350713222, 2403763488, 16475700746, 112925875764, 774004377960, 5305106018016, 36361732975514, 249227005939632, 1708227330997438, 11708364225400920
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OFFSET
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2,1
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COMMENT
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Smallest integer divisible by fibonacci(2n) such that continued fraction expansion of a(n)/phi has period 2 or 4.
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FORMULA
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a(n) = fibonacci(2n)*ceil(lucas(2n)/2)
Fibonacci(2n)*(A071618(n)+1) - Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 26 2003
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CROSSREFS
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Cf. A087954.
Sequence in context: A125322 A126480 A030235 this_sequence A138402 A108734 A143559
Adjacent sequences: A088163 A088164 A088165 this_sequence A088167 A088168 A088169
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KEYWORD
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easy,nonn
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AUTHOR
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Thomas Baruchel (baruchel(AT)users.sourceforge.net), Sep 21 2003
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