A322392 Array A read by antidiagonals: A(n,k) = n-th digit of the base k expansion of 1/n.

0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 4, 2, 5, 1, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 3, 2, 1, 1, 0, 3, 3, 0, 0, 0, 0, 1, 0, 1, 3, 0, 0, 2, 1, 0, 3, 0, 0, 0, 6, 0, 8, 0, 4, 1, 6, 0

Offset: 1

Author

Derek J. Graves, Dec 06 2018, on behalf of Joseph A. Stocke

Keywords

• nonn
• tabl
• base
• easy

Examples

			A(10,9) = 8, as the 10th digit of the base 9 expansion of 1/10 = 0.0808080808080808080808080808... is 8.
Array A(n, k) begins:
n\k  1    2    3    4    5    6    7    8    9   10
1    0    0    0    0    0    0    0    0    0    0
2    0    0    1    0    2    0    3    0    4    0
3    0    0    0    1    1    0    2    2    0    3
4    0    0    2    0    1    0    5    0    2    0
5    0    0    0    0    0    1    1    1    1    0
6    0    0    1    2    4    0    1    2    4    6
7    0    0    0    0    0    0    0    1    1    1
8    0    0    1    0    3    0    6    0    1    0
9    0    0    0    3    3    0    3    0    0    1
10   0    0    0    1    2    3    4    6    8    0
		

Crossrefs

Supersequence of A061480.

Cf. A092542, A092543.

Programs

Mathematica

a = {}; l = 100; x = Table[ Join[Range[2n - 1], Reverse@ Range[2n - 2]], {n, l}] // Flatten; y = Table[ Join[Range[2m], Reverse@Range[2m - 1]], {m, l-1}] // Flatten; Do[a = Append[a, Mod[ Floor[1/Part[x, i] * Part[y,i]^Part[x, i]], Part[y,i]] ], {i, 1, l} ]; a