A273138 Row number in which n appears for the first time in the infinite Sudoku-type array A269526.

1, 2, 1, 2, 2, 1, 5, 2, 3, 1, 1, 2, 1, 2, 3, 2, 3, 1, 3, 1, 3, 2, 4, 1, 2, 1, 2, 2, 1, 2, 3, 2, 3, 2, 1, 3, 2, 1, 2, 1, 3, 4, 3, 4, 3, 2, 1, 6, 5, 4, 2, 1, 2, 3, 5, 2, 3, 1, 3, 1, 6, 1, 3, 1, 6, 5, 1, 1, 5, 4, 3, 2, 1, 2, 3, 2, 1, 2, 5, 6, 10, 8, 7, 4, 3, 2, 1, 6, 5, 4, 3, 5, 4, 4, 2, 7, 5, 4, 2, 2, 4, 2, 4, 3

Offset

1,2

Comments

It appears that in the square array A269526 the numbers generally appear for the first time in or near the first few rows.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Example

Diagram with the first 18 positive integers located in the position where they appear for first time in the square array A269526:
1, 3, -, 6, -, -, 10, 11, 13, -,  -, 18,
2, 4, 5, -, 8, -,  -, 12, 14, 16, -,
-, -, -, -, 9, -,  -,  -, 15, 17,
-, -, -, -, -, -,  -,  -,  -,
-, 7, -, -, -, -,  -,  -,
-, -, -, -, -, -,  -,
-, -, -, -, -, -,
-, -, -, -, -,
-, -, -, -,
-, -, -,
-, -,
-,
...
a(9) = 3 because in the square array A269526 the number 9 appears for the first time in the third row.
a(n) <= 6, for n = 1..80.

Crossrefs

First three rows in the square array A269526 are A274315, A274316, A274317.

Cf. A274529, A273139, A274534.

Sequence in context: A123148 A173410 A166548 * A181281 A171683 A249130

Adjacent sequences: A273135 A273136 A273137 * A273139 A273140 A273141

Keyword

nonn

Author

Omar E. Pol, Jul 02 2016

Status

approved