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

1,3

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.

Links

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

Example

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, ...

Crossrefs

Cf. A175498, A327743, A327845.

Sequence in context: A253572 A141539 A340547 * A243851 A168266 A059250

Adjacent sequences: A327841 A327842 A327843 * A327845 A327846 A327847

Keyword

nonn,tabl

Author

Peter Kagey, Sep 29 2019

Status

approved