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 A278833 #11 Apr 28 2018 03:14:13
%S A278833 0,6,11,16,58,178,195,273,695,862,989,2477,2619
%N A278833 Indices of records of A004090(n) - n, where A004090 is the sum of digits of the Fibonacci numbers A000045.
%C A278833 For indices n = 1, 5, 83, 156 and 512, the value of the difference A004090(n) - n is the same as for the preceding record (see A278834). So the sequence of indices of records in the weak sense of >= would be (0, 1, 5, 6, 11, 16, 58, 83, 156, 178, 195, 273, 512, 695, 862, 989, 2477, 2619).
%C A278833 Conjectured to be finite and complete. Indeed it appears that 0.9*n < A004090(n) < n for all sufficiently large n.
%t A278833 Function[t, Flatten@ Map[First@ Position[t, #] - 1 &, Union@ Rest@ FoldList[Max, 0, t]]]@ Table[Plus @@ IntegerDigits@ Fibonacci@n - n, {n, 0, 10^4}] (* _Michael De Vlieger_, Dec 28 2016 *)
%o A278833 (PARI) m=-1; for(k=0, 1e4, sumdigits(fibonacci(k))-k>m&&print1(k", ")+m=sumdigits(fibonacci(k))-k)
%Y A278833 Cf. A000045 (Fibonacci numbers), A004090 (their digital sums), A278834 (the record values corresponding to the indices listed here).
%Y A278833 Except for the initial 0, this appears to be a subsequence of A264935.
%K A278833 nonn,base,fini,full
%O A278833 1,2
%A A278833 _M. F. Hasler_, Dec 28 2016