A267089 T(n,k) is decimal conversion of 1's in an n X n table that lie on its principal diagonals.

1, 3, 3, 5, 2, 5, 9, 6, 6, 9, 17, 10, 4, 10, 17, 33, 18, 12, 12, 18, 33, 65, 34, 20, 8, 20, 34, 65, 129, 66, 36, 24, 24, 36, 66, 129, 257, 130, 68, 40, 16, 40, 68, 130, 257, 513, 258, 132, 72, 48, 48, 72, 132, 258, 513, 1025, 514, 260, 136, 80, 32, 80, 136, 260, 514

Offset: 0

Author

Kival Ngaokrajang, Jan 10 2016

Keywords

• nonn
• tabl

Comments

Inspired by A137932 and A042948.

Conjectures:

(i) The first column is A083318.

(ii) T(n,k) = A086066(m) where m >= 10, n = m - 9*k, k = floor(m/10).

Examples

			See the "Illustration of initial terms" link for explicit examples.
Triangle begins:
n\k 0   1  2  3  4  5  6   7   8 ...
0   1
1   3   3
2   5   2  5
3   9   6  6  9
4  17  10  4 10 17
5  33  18 12 12 18 33
6  65  34 20  8 20 34 65
7 129  66 36 24 24 36 66 129
8 257 130 68 40 16 40 68 130 257
...
		

Links

• Kival Ngaokrajang, Illustration of initial terms, T(n,k) for n = 0..15, k = 0..10

Crossrefs

Cf. A042948, A083318, A086066, A137932.