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A343044
Array T(n, k), n, k >= 0, read by antidiagonals; lunar addition table for the primorial base.
4
0, 1, 1, 2, 1, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 5, 5, 3, 3, 5, 5, 6, 5, 4, 3, 4, 5, 6, 7, 7, 5, 5, 5, 5, 7, 7, 8, 7, 8, 5, 4, 5, 8, 7, 8, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 10, 9, 8, 9, 10, 5, 10, 9, 8, 9, 10, 11, 11, 9, 9, 11, 11, 11, 11, 9, 9, 11, 11, 12, 11, 10, 9, 10, 11, 6, 11, 10, 9, 10, 11, 12
OFFSET
0,4
COMMENTS
The i-th digit of T(n, k) in primorial base is the largest of the i-th digits of n and of k in primorial base.
For n = 0..23, the factorial and primorial base representations of n are the same; hence the date sections for this sequence and for A343040 are the same.
EXAMPLE
Array T(n, k) begins:
n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12
---+----------------------------------------------------
0| 0 1 2 3 4 5 6 7 8 9 10 11 12
1| 1 1 3 3 5 5 7 7 9 9 11 11 13
2| 2 3 2 3 4 5 8 9 8 9 10 11 14
3| 3 3 3 3 5 5 9 9 9 9 11 11 15
4| 4 5 4 5 4 5 10 11 10 11 10 11 16
5| 5 5 5 5 5 5 11 11 11 11 11 11 17
6| 6 7 8 9 10 11 6 7 8 9 10 11 12
7| 7 7 9 9 11 11 7 7 9 9 11 11 13
8| 8 9 8 9 10 11 8 9 8 9 10 11 14
9| 9 9 9 9 11 11 9 9 9 9 11 11 15
10| 10 11 10 11 10 11 10 11 10 11 10 11 16
11| 11 11 11 11 11 11 11 11 11 11 11 11 17
12| 12 13 14 15 16 17 12 13 14 15 16 17 12
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,base,tabl
AUTHOR
Rémy Sigrist, Apr 05 2021
STATUS
approved