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 A333677 #8 Apr 02 2020 06:54:05
%S A333677 1,2,66,70,18084,19180,24934,26715,5346390,8197798,8424178,9088863,
%T A333677 1874967204,1988601580,2585182054,2769837915
%N A333677 Numbers whose divisors can be partitioned into two disjoint sets whose sums are consecutive Fibonacci numbers.
%C A333677 Since the sum of divisors of each term is also a Fibonacci number, this sequence is a subsequence of A272412.
%F A333677 66 is a term since its divisors {1, 2, 3, 6, 11, 22, 33, 66} can be partitioned into the two disjoint sets, {2, 3, 6, 11, 33} and {1, 22, 66}, whose sums, 55 and 89, are 2 consecutive Fibonacci numbers.
%t A333677 fibs = Fibonacci @ Range[2, 40]; seqQ[n_] := MemberQ[fibs, DivisorSigma[1, n]] && Module[{d = Divisors[n], s}, s = Round[Plus @@ d/GoldenRatio]; c = CoefficientList[Product[1 + x^i, {i, d}], x]; c[[1 + s]] > 0]; Select[Range[10^5], seqQ]
%Y A333677 Cf. A000045, A000203, A083207, A272412.
%K A333677 nonn,more
%O A333677 1,2
%A A333677 _Amiram Eldar_, Apr 01 2020
%E A333677 a(13)-a(16) from _Giovanni Resta_, Apr 02 2020