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.

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, 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, 13, 9, 1, 2, 4, 3, 6, 11, 5, 9, 7, 13, 10, 16, 1, 2, 4, 3

Offset: 1

Author

Peter Kagey, Sep 29 2019

Keywords

• nonn
• tabl

Comments

First row is A175498. Main diagonal is A327743.

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, ...

For example, T(6, 194) != A327743(194), but T(6, n) = A327743(n) for n < 194.

Examples

			Table begins:
1, 2, 4, 3, 6, 10, 5, 11, 7, 12,  9, 16, 8, 17, 15, 23, ...
1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 25, 12, ...
1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 25, 12, ...
1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 12, ...
1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 12, ...
1, 2, 4, 3, 6, 11, 5,  9, 7, 13, 10, 18, 8, 15, 27, 14, ...
		

Links

• Peter Kagey, Table of n, a(n) for n = 1..10011 (first 141 antidiagonals, flattened)

Crossrefs

Cf. A175498, A327743, A327845.