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Search: id:A117766
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| A117766 |
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Fibonacci numbers for which the sum of the digits is a Lucas number. |
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+0
2
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| 1, 3, 13, 21, 34, 610, 196418, 1134903170, 20365011074, 15635695580168194910579363790217849593217, 1049252690665646467530632231274619718410203796555123147644873726135009824265250
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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196418 is in the sequence because (1) it is a Fibonacci number and (2)the sum of its digits 1+9+6+4+1+8=29 is a Lucas number.
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MAPLE
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with(combinat): L[1]:=1:L[2]:=3: for m from 3 to 30 do L[m]:=L[m-1]+L[m-2] od: LL:=[seq(L[m], m=1..30)]: a:=proc(n) local ff, sod: ff:=convert(fibonacci(n), base, 10): sod:=add(ff[j], j=1..nops(ff)): if member(sod, LL)=true then fibonacci(n) else fi end: seq(a(n), n=2..450); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2006
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CROSSREFS
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Cf. A000045, A000204.
Sequence in context: A145024 A055059 A050903 this_sequence A057589 A135580 A011533
Adjacent sequences: A117763 A117764 A117765 this_sequence A117767 A117768 A117769
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 16 2006
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