A117765 Lucas numbers for which the sum of the digits is a Fibonacci number.

1, 3, 11, 76, 521, 39603, 271443, 33385282, 370248451, 688846502588399, 71420983074726546239, 22291846172619859445381409012498, 6957708846765958465433550193562787551898761

Offset

1,2

Comments

The next term is too large to include. - Joshua Zucker, May 11 2006

Links

Table of n, a(n) for n=1..13.

Example

39603 is in the sequence because (1)it is a Lucas number and (2)the sum of its digits 3+9+6+0+3=21 is a Fibonacci number.

Mathematica

With[{fibs=Fibonacci[Range[50]]}, Select[LucasL[Range[300]], MemberQ[ fibs, Total[ IntegerDigits[#]]]&]] (* Harvey P. Dale, Mar 28 2015 *)

Crossrefs

Cf. A000045, A000204.

Sequence in context: A181388 A196691 A197064 * A220146 A046153 A163856

Adjacent sequences: A117762 A117763 A117764 * A117766 A117767 A117768

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006

Extensions

More terms from Joshua Zucker, May 11 2006

Status

approved