%I #5 Feb 06 2023 12:47:49
%S 1,1,2,1,2,3,1,1,2,3,4,1,1,1,2,2,3,4,5,1,1,1,1,1,2,2,2,3,3,4,5,6
%N Triangle by rows, number of leading 1's in Fibonacci Maximal notation.
%C Row sums = A001911: (1, 3, 6, 11, 19, 32,...).
%C A181630 = number of 1's in Fibonacci Maximal notation (which has headings of (...8, 5, 3, 2, 1) filling entries from the right to left; as opposed to Fibonacci Minimal which starts from the left. For example, 8 in Maximal = 1011 = (5 + 2 + 1) whereas Maximal = (1100) = (5 + 3).
%C Rows have (1, 2, 3, 5, 8,...) terms.
%e First few rows of the triangle =
%e 1;
%e 1, 2;
%e 1, 2, 3;
%e 1, 1, 2, 3, 4;
%e 1, 1, 1, 2, 2, 3, 4, 5;
%e 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6;
%e ...
%e Example: a(14) 1 since 14 in Fibonacci Maximal = 10111.
%Y Cf. A001911, A181630.
%K nonn,tabf,more
%O 1,3
%A _Gary W. Adamson_, Nov 02 2010