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%I #12 Jul 27 2021 01:40:15
%S 1,3,1,4,1,2,5,1,2,2,5,1,2,2,3,6,1,2,2,3,2,6,1,2,2,3,2,4,6,1,2,2,3,2,
%T 4,2,7,1,2,2,3,2,4,2,4,7,1,2,2,3,2,4,2,4,3,6,1,2,2,3,2,4,2,4,3,4,8,1,
%U 2,2,3,2,4,2,4,3,4,2,8,1,2,2,3,2,4,2,4,3,4,2,6,6
%N Irregular triangle read by rows in which row n lists the first n - 2 terms of A000005 together with the sum of A000005(n-1) and A000005(n), with a(1) = 1.
%C T(n,k) is the total number of divisors related to the terraces that are in the k-th level that contains terraces starting from the base of the symmetric tower described in A221529.
%e Triangle begins:
%e 1;
%e 3;
%e 1, 4;
%e 1, 2, 5;
%e 1, 2, 2, 5;
%e 1, 2, 2, 3, 6;
%e 1, 2, 2, 3, 2, 6;
%e 1, 2, 2, 3, 2, 4, 6;
%e 1, 2, 2, 3, 2, 4, 2, 7;
%e 1, 2, 2, 3, 2, 4, 2, 4, 7;
%e 1, 2, 2, 3, 2, 4, 2, 4, 3, 6;
%e 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 8;
%e 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 8;
%e 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 6;
%e ...
%Y The length of row n is A028310(n-1).
%Y Row sums give A006218, n >= 1.
%Y Leading diagonal gives A092405.
%Y Other diagonals give A000005.
%Y Column 1 gives the absolute values of A260196.
%Y Companion of A346533.
%Y Cf. A221529, A237270, A237593, A336811, A338156, A340035.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Jul 23 2021