This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A333619 #12 Oct 12 2023 06:20:06 %S A333619 1,2,4,10,15,18,20,25,44,55,56,63,70,78,80,96,108,126,128,190,275,324, %T A333619 338,341,416,442,451,484,494,517,520,550,637,682,720,726,736,760,780, %U A333619 781,803,816,845,946,990,1088,1111,1113,1199,1235,1239,1311,1426,1441 %N A333619 Numbers that are divisible by the total number of 1's in the Zeckendorf representations of all their divisors (A300837). %H A333619 Amiram Eldar, <a href="/A333619/b333619.txt">Table of n, a(n) for n = 1..10000</a> %e A333619 4 is a term since its divisors are {1, 2, 4}, their Zeckendorf representations (A014417) are {1, 10, 101}, and their sum of sums of digits is 1 + (1 + 0) + (1 + 0 + 1) = 4 which is a divisor of 4. %t A333619 zeckDigSum[n_] := Length[DeleteCases[NestWhileList[# - Fibonacci[Floor[Log[Sqrt[5] * # + 3/2]/Log[GoldenRatio]]] &, n, # > 1 &], 0]]; %t A333619 zeckDivDigSum[n_] := DivisorSum[n, zeckDigSum[#] &]; %t A333619 Select[Range[10^3], Divisible[#, zeckDivDigSum[#]] &] %Y A333619 Cf. A007895, A014417, A093705, A300837, A328208, A333617, A333620. %K A333619 nonn,base %O A333619 1,2 %A A333619 _Amiram Eldar_, Mar 29 2020