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A330408 Table of A(n,k) read by antidiagonals, where A(1,k)=k; A(n,k) is the least multiple of n >= A(n-1,k).

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%I A330408 #15 Jan 16 2020 13:27:42
%S A330408 1,2,2,3,2,3,4,4,3,4,5,4,6,4,5,6,6,6,8,5,6,7,6,6,8,10,6,7,8,8,6,8,10,
%T A330408 12,7,8,9,8,9,8,10,12,14,8,9,10,10,9,12,10,12,14,16,9,10,11,10,12,12,
%U A330408 15,12,14,16,18,10,11,12,12,12,12,15,18,14,16,18,20
%N A330408 Table of A(n,k) read by antidiagonals, where A(1,k)=k; A(n,k) is the least multiple of n >= A(n-1,k).
%C A330408 The main diagonal is conjectured to be A166447.
%e A330408 Table begins:
%e A330408   1, 2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, ...
%e A330408   2, 2,  4,  4,  6,  6,  8,  8, 10, 10, 12, 12, 14, 14, 16, ...
%e A330408   3, 3,  6,  6,  6,  6,  9,  9, 12, 12, 12, 12, 15, 15, 18, ...
%e A330408   4, 4,  8,  8,  8,  8, 12, 12, 12, 12, 12, 12, 16, 16, 20, ...
%e A330408   5, 5, 10, 10, 10, 10, 15, 15, 15, 15, 15, 15, 20, 20, 20, ...
%e A330408   6, 6, 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 24, 24, 24, ...
%e A330408   7, 7, 14, 14, 14, 14, 21, 21, 21, 21, 21, 21, 28, 28, 28, ...
%e A330408   8, 8, 16, 16, 16, 16, 24, 24, 24, 24, 24, 24, 32, 32, 32, ...
%e A330408   9, 9, 18, 18, 18, 18, 27, 27, 27, 27, 27, 27, 36, 36, 36, ...
%t A330408 A[1, k_] := A[1, k] = k; A[n_, k_] := A[n, k] = Module[{m = 1}, While[m*n < A[n - 1, k], m++]; m*n]; Table[A[n - k + 1, k], {n, 1, 12}, {k, n, 1, -1}] // Flatten (* _Amiram Eldar_, Jan 03 2020 *)
%Y A330408 Cf. A166447.
%K A330408 nonn,tabl
%O A330408 1,2
%A A330408 _Ali Sada_, Dec 13 2019