This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344837 #9 May 31 2021 02:10:56
%S A344837 0,0,0,0,1,0,0,2,2,0,0,2,2,2,0,0,4,2,2,4,0,0,4,4,3,4,4,0,0,4,4,4,4,4,
%T A344837 4,0,0,4,4,5,4,5,4,4,0,0,8,4,6,4,4,6,4,8,0,0,8,8,6,4,5,4,6,8,8,0,0,8,
%U A344837 8,8,4,5,5,4,8,8,8,0,0,8,8,9,8,5,6,5,8,9,8,8,0
%N A344837 Square array T(n, k), n, k >= 0, read by antidiagonals; T(n, k) = min(n * 2^max(0, w(k)-w(n)), k * 2^max(0, w(n)-w(k))) (where w = A070939).
%C A344837 In other words, we right pad the binary expansion of the lesser of n and k with zeros (provided it is positive) so that both numbers have the same number of binary digits, and then take the least value.
%H A344837 Rémy Sigrist, <a href="/A344837/b344837.txt">Table of n, a(n) for n = 0..10010</a>
%H A344837 Rémy Sigrist, <a href="/A344837/a344837.png">Colored representation of the table for n, k < 2^10</a>
%F A344837 T(n, k) = T(k, n).
%F A344837 T(m, T(n, k)) = T(T(m, n), k).
%F A344837 T(n, n) = n.
%F A344837 T(n, 0) = 0.
%F A344837 T(n, 1) = A053644(n).
%e A344837 Array T(n, k) begins:
%e A344837 n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
%e A344837 ---+----------------------------------------------------------
%e A344837 0| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
%e A344837 1| 0 1 2 2 4 4 4 4 8 8 8 8 8 8 8 8
%e A344837 2| 0 2 2 2 4 4 4 4 8 8 8 8 8 8 8 8
%e A344837 3| 0 2 2 3 4 5 6 6 8 9 10 11 12 12 12 12
%e A344837 4| 0 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8
%e A344837 5| 0 4 4 5 4 5 5 5 8 9 10 10 10 10 10 10
%e A344837 6| 0 4 4 6 4 5 6 6 8 9 10 11 12 12 12 12
%e A344837 7| 0 4 4 6 4 5 6 7 8 9 10 11 12 13 14 14
%e A344837 8| 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
%e A344837 9| 0 8 8 9 8 9 9 9 8 9 9 9 9 9 9 9
%e A344837 10| 0 8 8 10 8 10 10 10 8 9 10 10 10 10 10 10
%e A344837 11| 0 8 8 11 8 10 11 11 8 9 10 11 11 11 11 11
%e A344837 12| 0 8 8 12 8 10 12 12 8 9 10 11 12 12 12 12
%e A344837 13| 0 8 8 12 8 10 12 13 8 9 10 11 12 13 13 13
%e A344837 14| 0 8 8 12 8 10 12 14 8 9 10 11 12 13 14 14
%e A344837 15| 0 8 8 12 8 10 12 14 8 9 10 11 12 13 14 15
%o A344837 (PARI) T(n, k, op=min, w=m->#binary(m)) = { op(n*2^max(0, w(k)-w(n)), k*2^max(0, w(n)-w(k))) }
%Y A344837 Cf. A003983, A053644, A070939.
%Y A344837 Cf. A344834 (AND), A344835 (OR), A344836 (XOR), A344838 (max), A344839 (absolute difference).
%K A344837 nonn,base,tabl
%O A344837 0,8
%A A344837 _Rémy Sigrist_, May 29 2021