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 A058983 #5 Sep 09 2022 23:36:47
%S A058983 0,1,3,4,5,8,25,27,28,397,400,402,403,405,1398,1399,1401,11300,11307,
%T A058983 11309,11310,11315,44839,44840,44842,1447644,6237276,6237278,9113438,
%U A058983 9113440,9113441,60850032,176139461,525738914,525738917,2492039442,2492039443,2492039444,2492039446
%N A058983 Position at which increasing values of the Improperly Reduced Fibonacci Sequence (A058981) occur.
%t A058983 y = 0; c = l = i = z = 1; d = {1}; Do[ x = y + z; c++; j = 1; While[ ! IntegerQ[ x / d[ [ j ] ] ] && j <= i, j++ ]; If[ j > i, d = Append[ d, x ]; i++, x = x/d[ [ j ] ]; d = Delete[ d, j ]; d = Append[ d, x ] ]; If[ x > l, l = x; Print[ c ] ]; y = z; z = x, {n, 1, 10^7} ]
%Y A058983 Cf. A058981, A058982.
%K A058983 nonn
%O A058983 0,3
%A A058983 _Robert G. Wilson v_, Jan 15 2001
%E A058983 a(31)-a(38) from _Sean A. Irvine_, Sep 09 2022