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A253561 Square array read by antidiagonals: A(row,col) = A122111(A246278(row,col)).

%I A253561 #15 Jan 04 2015 22:56:51
%S A253561 2,3,4,6,9,8,5,18,27,16,12,25,54,81,32,10,36,125,162,243,64,24,50,108,
%T A253561 625,486,729,128,7,72,250,324,3125,1458,2187,256,15,49,216,1250,972,
%U A253561 15625,4374,6561,512,20,75,343,648,6250,2916,78125,13122,19683,1024,48,100,375,2401,1944,31250,8748,390625,39366,59049,2048,14,144,500,1875,16807,5832,156250,26244,1953125,118098,177147,4096
%N A253561 Square array read by antidiagonals: A(row,col) = A122111(A246278(row,col)).
%C A253561 If we assume here that a(1) = 1 (but which is not explicitly included because outside of the array), then A253562 gives the inverse permutation.
%C A253561 The top row A253568 contains the same terms as A102750, but in different order.
%H A253561 Antti Karttunen, <a href="/A253561/b253561.txt">Table of n, a(n) for n = 2..466; the first 30 antidiagonals of the array</a>
%F A253561 a(n) = A122111(A246278(n)). [As a linear sequence].
%F A253561 Other identities.
%F A253561 A071178(A(row,col)) = row for all col. [All terms on row k have k as the exponent of their largest prime factor.]
%F A253561 A253560(A(row,col)) = A(row+1,col). [For any n >= 2, A253560(n) gives the term which is immediately below n in the same column of this array.]
%e A253561 The top left corner of the array:
%e A253561    2,  3,   6,   5,   12,   10,   24,    7,   15,   20,  48,   14,  96,   40,
%e A253561    4,  9,  18,  25,   36,   50,   72,   49,   75,  100, 144,   98, 288,  200,
%e A253561    8, 27,  54, 125,  108,  250,  216,  343,  375,  500, 432,  686, 864, 1000,
%e A253561   16, 81, 162, 625,  324, 1250,  648, 2401, 1875, 2500,1296, 4802,2592, 5000,
%e A253561   32,243, 486,3125,  972, 6250, 1944,16807, 9375,12500,3888,33614,7776,25000,
%e A253561 ...
%o A253561 (Scheme) (define (A253561 n) (A122111 (A246278 n)))
%Y A253561 Inverse: A253562.
%Y A253561 The leftmost column: A000079. Topmost row: A253568.
%Y A253561 Cf. A071178, A122111, A246278, A102750, A253560, A253563.
%K A253561 nonn,tabl
%O A253561 2,1
%A A253561 _Antti Karttunen_, Jan 03 2015