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%I #18 Jan 20 2021 17:53:40
%S 1,3,5,1,8,3,1,10,5,3,1,1,14,8,5,3,3,1,1,16,10,8,5,5,3,3,1,1,1,1,20,
%T 14,10,8,8,5,5,3,3,3,3,1,1,1,1,23,16,14,10,10,8,8,5,5,5,5,3,3,3,3,1,1,
%U 1,1,1,1,1,27,20,16,14,14,10,10,8,8,8,8,5,5,5,5,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1
%N Irregular triangle read by rows T(n,k), (n >= 1, k >= 1), in which row n has length A000041(n-1) and every column k is A006218.
%F a(m) = A006218(A336811(m)).
%F T(n,k) = A006218(A336811(n,k)).
%e Triangle begins:
%e 1;
%e 3;
%e 5, 1;
%e 8, 3, 1;
%e 10, 5, 3, 1, 1;
%e 14, 8, 5, 3, 3, 1, 1;
%e 16, 10, 8, 5, 5, 3, 3, 1, 1, 1, 1;
%e 20, 14, 10, 8, 8, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1;
%e 23, 16, 14, 10, 10, 8, 8, 5, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1;
%e ...
%e For n = 6, the length of row 6 is A000041(5) = 7.
%e The sum of row 6 is 14 + 8 + 5 + 3 + 3 + 1 + 1 = 35, equaling A006128(6).
%Y Row sums give A006128.
%Y Cf. A340525 (a regular version).
%Y Members of the same family are: A336811, A339278, A339304, A340423.
%Y Cf. A337209, A339258, A340530, A340531.
%Y Cf. A000041, A006218.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Jan 10 2021
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