A343044 - OEIS

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A343044

Array T(n, k), n, k >= 0, read by antidiagonals; lunar addition table for the primorial base.

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

(list; table; graph; refs; listen; history; text; internal format)

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.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10010

Rémy Sigrist, Colored representation of the array for n, k < 2*3*5*7*11 (where the color is function of T(n, k))

Rémy Sigrist, PARI program for A343044

Index entries for sequences related to dismal (or lunar) arithmetic

Index entries for sequences related to primorial base

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