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A327844 Table read by antidiagonals: the m-th row gives the sequence constructed by repeatedly choosing the smallest positive number not already in the row such that for each k = 1, ..., m, the k-th differences are distinct.

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%I A327844 #9 Sep 30 2019 21:57:56
%S A327844 1,1,2,1,2,4,1,2,4,3,1,2,4,3,6,1,2,4,3,6,10,1,2,4,3,6,11,5,1,2,4,3,6,
%T A327844 11,5,11,1,2,4,3,6,11,5,9,7,1,2,4,3,6,11,5,9,7,12,1,2,4,3,6,11,5,9,7,
%U A327844 13,9,1,2,4,3,6,11,5,9,7,13,10,16,1,2,4,3
%N A327844 Table read by antidiagonals: the m-th row gives the sequence constructed by repeatedly choosing the smallest positive number not already in the row such that for each k = 1, ..., m, the k-th differences are distinct.
%C A327844 First row is A175498. Main diagonal is A327743.
%C A327844 The index of where the m-th row first differs from A327743 is 6, 15, 15, 16, 16, 194, 301, 301, 1036, 1036, 1036, 1037, ...
%C A327844 For example, T(6, 194) != A327743(194), but T(6, n) = A327743(n) for n < 194.
%H A327844 Peter Kagey, <a href="/A327844/b327844.txt">Table of n, a(n) for n = 1..10011</a> (first 141 antidiagonals, flattened)
%e A327844 Table begins:
%e A327844 1, 2, 4, 3, 6, 10, 5, 11, 7, 12,  9, 16, 8, 17, 15, 23, ...
%e A327844 1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 25, 12, ...
%e A327844 1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 25, 12, ...
%e A327844 1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 12, ...
%e A327844 1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 12, ...
%e A327844 1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 14, ...
%Y A327844 Cf. A175498, A327743, A327845.
%K A327844 nonn,tabl
%O A327844 1,3
%A A327844 _Peter Kagey_, Sep 29 2019