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A269780 Table read by antidiagonals where T(i,j) is the location of the pair (i,j) in A269501.

%I A269780 #20 Jul 04 2018 10:35:55
%S A269780 1,2,4,5,3,9,10,8,7,16,17,15,6,14,25,26,24,13,12,23,36,37,35,22,11,21,
%T A269780 34,49,50,48,33,20,19,32,47,64,65,63,46,31,18,30,45,62,81,82,80,61,44,
%U A269780 29,28,43,60,79,100,101,99,78,59,42,27,41,58,77,98,121,122,120,97,76,57,40,39,56,75,96,119,144
%N A269780 Table read by antidiagonals where T(i,j) is the location of the pair (i,j) in A269501.
%C A269780 This is trivially a permutation of the positive integers.
%C A269780 The "location" of the pair is taken to be the index of the second element of the pair.
%F A269780 T(i,j) :=
%F A269780    if i=1, then (j-1)^2 + 1,
%F A269780    if i>j, then i^2 - 2j + 2,
%F A269780    and otherwise j^2 - 2i + 3.
%e A269780 The table starts:
%e A269780    1,  2,  5, 10, 17, 26
%e A269780    4,  3,  8, 15, 24, 35
%e A269780    9,  7,  6, 13, 22, 33
%e A269780   16, 14, 12, 11, 20, 31
%e A269780   25, 23, 21, 19, 18, 29
%e A269780   36, 34, 32, 30, 28, 27
%Y A269780 Cf. A269501, A097292, A002522 (top row, left shifted).
%Y A269780 If 1 is subtracted from each term we get A316323.
%K A269780 nonn,tabl
%O A269780 1,2
%A A269780 _Franklin T. Adams-Watters_, Mar 04 2016