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A139563 Fibonacci numbers whose digit sum is a Lucas number. 2
1, 2, 3, 13, 21, 34, 610, 196418, 1134903170, 20365011074, 15635695580168194910579363790217849593217, 1049252690665646467530632231274619718410203796555123147644873726135009824265250 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

196418 is a Fibonacci number whose digit sum 29 is a Lucas number.

MATHEMATICA

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 *)

CROSSREFS

Cf. A000032, A000045, A004090, A117766.

Sequence in context: A295722 A037392 A136341 * A019226 A138699 A077248

Adjacent sequences:  A139560 A139561 A139562 * A139564 A139565 A139566

KEYWORD

nonn,base,less

AUTHOR

Parthasarathy Nambi, Jun 11 2008

EXTENSIONS

1 added in front by R. J. Mathar, Nov 03 2008

More terms from Jinyuan Wang, Mar 15 2020

STATUS

approved

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Last modified July 9 05:17 EDT 2020. Contains 335538 sequences. (Running on oeis4.)