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A053056
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Fibonacci numbers whose digit sum is also a Fibonacci number.
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1
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0, 1, 2, 3, 5, 8, 21, 233, 317811, 3524578, 7778742049, 259695496911122585, 19740274219868223167, 10284720757613717413913, 263621064469290555679241849789653324393054271110084140201023
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OFFSET
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1,3
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COMMENTS
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Is this sequence finite?
It is heuristically infinite because of the divergence of the harmonic series. - Charles R Greathouse IV, Sep 20 2012
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LINKS
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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, Apr 17 2006
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Oct 03 2000
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STATUS
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approved
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