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Search: id:A053056
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| A053056 |
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Fibonacci numbers whose digit sum is also a Fibonacci number. |
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+0
1
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| 0, 1, 2, 3, 5, 8, 21, 233, 317811, 3524578, 7778742049, 259695496911122585, 19740274219868223167, 10284720757613717413913, 263621064469290555679241849789653324393054271110084140201023
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Is this sequence finite?
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REFERENCES
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Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory.
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EXAMPLE
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317811 is in the sequence because the sum of its digits 3+1+7+8+1+1=21 is also a Fibonacci number - Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
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MAPLE
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with(combinat): F:=[seq(fibonacci(n), n=2..80)]: a:=proc(n) local ff, sod: ff:=convert(fibonacci(n), base, 10): sod:=add(ff[i], i=1..nops(ff)): if member(sod, F)=true then fibonacci(n) else fi end: seq(a(n), n=2..300); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 17 2006
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CROSSREFS
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Cf. A000045, A053056, A061268, A053049.
Sequence in context: A161468 A143873 A117774 this_sequence A041157 A042785 A136682
Adjacent sequences: A053053 A053054 A053055 this_sequence A053057 A053058 A053059
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KEYWORD
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easy,base,nonn
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AUTHOR
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Felice Russo (felice.russo(AT)katamail.com), Feb 25 2000
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Oct 03 2000
More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 17 2006
Edited by R. J. Mathar, Aug 08 2008
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