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A139563
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Fibonacci numbers whose digit sum is a Lucas number.
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2
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1, 2, 3, 13, 21, 34, 610, 196418, 1134903170, 20365011074, 15635695580168194910579363790217849593217, 1049252690665646467530632231274619718410203796555123147644873726135009824265250
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OFFSET
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1,2
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COMMENTS
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Depending on whether the Lucas numbers are defined by A000032 or by A000204, one obtains this sequence here or A117766. - R. J. Mathar, Nov 03 2008
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LINKS
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Table of n, a(n) for n=1..12.
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EXAMPLE
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196418 is a Fibonacci number whose digit sum 29 is a Lucas number.
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MATHEMATICA
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luQ[n_] := n==2 || Block[{i=1}, While[LucasL[i] < n, i++]; LucasL[i] == n]; Select[
Fibonacci[ Range[2, 400]], luQ[ Plus @@ IntegerDigits[#]] &] (* Giovanni Resta, Mar 15 2020 *)
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CROSSREFS
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Cf. A000032, A000045, A004090, A117766.
Sequence in context: A295722 A037392 A136341 * A019226 A138699 A341713
Adjacent sequences: A139560 A139561 A139562 * A139564 A139565 A139566
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KEYWORD
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nonn,base,less
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AUTHOR
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Parthasarathy Nambi, Jun 11 2008
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EXTENSIONS
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1 added in front by R. J. Mathar, Nov 03 2008
More terms from Jinyuan Wang, Mar 15 2020
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STATUS
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approved
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