OFFSET
1,2
COMMENTS
The corresponding quotients are 1, 1, 1, 2, 2, 4, 5, 5, 8, ...
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..85 (terms below 10^13)
EXAMPLE
3 is a term since the numbers 1, 2 and 3 in the Zeckendorf representation are 1, 10 and 100, and the sum of their numbers of digits of 1 is 1 + 1 + 1 = 3 which is divisible by 3.
MATHEMATICA
zeckSum[n_] := Length[DeleteCases[NestWhileList[# - Fibonacci[Floor[Log[Sqrt[5]*# + 3/2]/Log[GoldenRatio]]] &, n, # > 1 &], 0]]; seq = {}; sum = 0; Do[sum += zeckSum[n]; If[Divisible[sum, n], AppendTo[seq, n]], {n, 1, 10^6}]; seq
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Apr 02 2020
EXTENSIONS
More terms from Amiram Eldar, Oct 12 2023
STATUS
approved