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Rectangular array T, by antidiagonals: T(n,k) = rank of n in A097291 at which the pair (n,k) occurs.
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%I #12 May 09 2022 08:37:16

%S 1,2,4,5,3,9,10,8,7,16,17,13,6,12,25,26,20,15,14,19,36,37,29,22,11,21,

%T 28,49,50,40,31,24,23,30,39,64,65,53,42,33,18,32,41,52,81,82,68,55,44,

%U 35,34,43,54,67,100,101,85,70,57,46,27,45,56,69,84,121

%N Rectangular array T, by antidiagonals: T(n,k) = rank of n in A097291 at which the pair (n,k) occurs.

%C Row 1 is A002522.

%C Column 1 (squares) is A002900.

%C Main diagonal is 2+(n-1)^2 for n>1, cf. A010000.

%e Northwest corner:

%e 1 2 5 10

%e 4 3 8 13

%e 9 7 6 15

%e 16 12 14 11

%e T(3,4) = 15 because in A097291, the pair 3,4 occurs at positions 15,16.

%Y Cf. A097291.

%Y Cf. A002522, A010000.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Aug 05 2004