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Search: id:A136174
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| A136174 |
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Fibonacci numbers that contain all the digits 0 to 9 at least once. |
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1
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| 2504730781961, 6557470319842, 1304969544928657, 7540113804746346429, 135301852344706746049, 354224848179261915075, 3928413764606871165730, 10284720757613717413913, 26925748508234281076009
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The Fibonacci indices of A136174 are 61, 63, 74, 92, 98, 100, 105, 107, 109, 113, ..., . - Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 26 2008
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LINKS
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Nathan Egge and Aaron Krowne, Planet Math.
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EXAMPLE
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The Fibonacci number 2504730781961 contains all the digits 0 to 9 at least once.
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MAPLE
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with(combinat): a:=proc(n) if `subset`({0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, convert(convert(fibonacci(n), base, 10), set)) = true then fibonacci(n) else end if end proc: seq(a(n), n=1..110); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 06 2008
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MATHEMATICA
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Fibonacci[Select[Range[300], Min[DigitCount[Fibonacci[ # ]]] > 0 &]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 26 2008
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CROSSREFS
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Cf. A000045.
Adjacent sequences: A136171 A136172 A136173 this_sequence A136175 A136176 A136177
Sequence in context: A026081 A077304 A034658 this_sequence A015434 A017292 A017400
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KEYWORD
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nonn,base
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Mar 16 2008
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 26 2008
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