%I #9 Jan 27 2024 10:35:47
%S 1,1,1,1,1,1,1,3,2,1,1,4,5,3,1,1,10,14,11,4,1,1,15,35,31,19,5,1,1,35,
%T 90,106,69,29,6,1,1,56,245,323,265,127,41,7,1,1,126,644,1093,971,583,
%U 209,55,8,1,1,210,1716,3439,3644,2446,1106,319,71,9,1,1,462,4707,11716,13771,10616,5323,1904,461,89,10,1
%N Triangular array read by rows: T(m,n) = number of Yamanouchi words over the alphabet {1, 2, ..., n} of length m that start with n, m >= 1, n = 1..m.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Lattice_word">Lattice word</a>.
%e Array starts with
%e m=1: 1
%e m=2: 1, 1
%e m=3: 1, 1, 1
%e m=4: 1, 3, 2, 1
%e m=5: 1, 4, 5, 3, 1
%e m=6: 1, 10, 14, 11, 4, 1
%e m=7: 1, 15, 35, 31, 19, 5, 1
%Y Row sums: A238728.
%Y Columns: A000012 (n=1), A037952 (n=2), A369591 (n=3).
%Y Cf. A001006, A369588.
%K nonn,tabl
%O 1,8
%A _Max Alekseyev_, Jan 26 2024