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A343044 Array T(n, k), n, k >= 0, read by antidiagonals; lunar addition table for the primorial base.

%I A343044 #11 Apr 08 2021 00:33:55
%S A343044 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,
%T A343044 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,
%U A343044 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
%N A343044 Array T(n, k), n, k >= 0, read by antidiagonals; lunar addition table for the primorial base.
%C A343044 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.
%C A343044 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.
%H A343044 Rémy Sigrist, <a href="/A343044/b343044.txt">Table of n, a(n) for n = 0..10010</a>
%H A343044 Rémy Sigrist, <a href="/A343044/a343044.png">Colored representation of the array for n, k < 2*3*5*7*11</a> (where the color is function of T(n, k))
%H A343044 Rémy Sigrist, <a href="/A343044/a343044.gp.txt">PARI program for A343044</a>
%H A343044 <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>
%H A343044 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%e A343044 Array T(n, k) begins:
%e A343044   n\k|   0   1   2   3   4   5   6   7   8   9  10  11  12
%e A343044   ---+----------------------------------------------------
%e A343044     0|   0   1   2   3   4   5   6   7   8   9  10  11  12
%e A343044     1|   1   1   3   3   5   5   7   7   9   9  11  11  13
%e A343044     2|   2   3   2   3   4   5   8   9   8   9  10  11  14
%e A343044     3|   3   3   3   3   5   5   9   9   9   9  11  11  15
%e A343044     4|   4   5   4   5   4   5  10  11  10  11  10  11  16
%e A343044     5|   5   5   5   5   5   5  11  11  11  11  11  11  17
%e A343044     6|   6   7   8   9  10  11   6   7   8   9  10  11  12
%e A343044     7|   7   7   9   9  11  11   7   7   9   9  11  11  13
%e A343044     8|   8   9   8   9  10  11   8   9   8   9  10  11  14
%e A343044     9|   9   9   9   9  11  11   9   9   9   9  11  11  15
%e A343044    10|  10  11  10  11  10  11  10  11  10  11  10  11  16
%e A343044    11|  11  11  11  11  11  11  11  11  11  11  11  11  17
%e A343044    12|  12  13  14  15  16  17  12  13  14  15  16  17  12
%o A343044 (PARI) See Links section.
%Y A343044 Cf. A087061, A235168, A343040, A343045.
%K A343044 nonn,base,tabl
%O A343044 0,4
%A A343044 _Rémy Sigrist_, Apr 05 2021