A117764 Lucas numbers for which the sum of the digits is also a Lucas number.

1, 3, 4, 7, 29, 47, 322, 2207, 1149851, 10749957122, 119218851371, 312119004989, 505019158607, 84722519070079276, 8784200221406821330636, 1473646213395791149646646123, 2657608295638762232902023676028758508503879

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Example

1149851 is in the sequence because (1) it is a Lucas number and (2)the sum of its digits 1+1+4+9+8+5+1=29 is also a Lucas number.

Mathematica

Module[{nn=300, luc}, luc=LucasL[Range[nn]]; Select[luc, MemberQ[luc, Total[ IntegerDigits[#]]]&]] (* Harvey P. Dale, Apr 19 2018 *)

Crossrefs

Cf. A000204.

Sequence in context: A042037 A041091 A270373 * A113874 A007677 A042773

Adjacent sequences: A117761 A117762 A117763 * A117765 A117766 A117767

Keyword

base,nonn

Author

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

Extensions

More terms from Joshua Zucker, May 11 2006

Status

approved