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A322392 Array A read by antidiagonals: A(n,k) = n-th digit of the base k expansion of 1/n. 4
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,17

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

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

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

CROSSREFS

Supersequence of A061480.

Cf. A092542, A092543.

Sequence in context: A336810 A178473 A164810 * A089538 A152439 A070965

Adjacent sequences:  A322389 A322390 A322391 * A322393 A322394 A322395

KEYWORD

nonn,tabl,base,easy

AUTHOR

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

STATUS

approved

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Last modified October 20 22:22 EDT 2021. Contains 348119 sequences. (Running on oeis4.)