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 A278834 #10 Apr 28 2018 03:14:18
%S A278834 0,2,6,8,15,30,32,40,44,46,51,57,92
%N A278834 Record values of A004090(n) - n, where A004090 is the sum of digits of the Fibonacci numbers A000045.
%C A278834 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, namely (0, 0, 15, 15, 40), respectively. So the sequence of records in the weak sense of >= would be (0, 0, 0, 2, 6, 8, 15, 15, 15, 30, 32, 40, 40, 44, 46, 51, 57, 92).
%C A278834 Conjectured to be finite and complete. Indeed it appears that 0.9*n < A004090(n) < n for all sufficiently large n.
%t A278834 Union@ Rest@ FoldList[Max, 0, #] &@ Table[Plus @@ IntegerDigits@ Fibonacci@ n - n, {n, 0, 10^4}] (* _Michael De Vlieger_, Dec 28 2016 *)
%o A278834 (PARI) m=-1; for(k=0,1e4, sumdigits(fibonacci(k))-k>m && print1(m=sumdigits(fibonacci(k))-k,","))
%Y A278834 Cf. A000045 (Fibonacci numbers), A004090 (their digital sums), A278833 (the indices corresponding to the record values listed here), A264935.
%K A278834 nonn,base,fini,full
%O A278834 1,2
%A A278834 _M. F. Hasler_, Dec 28 2016