_Clark Kimberling (ck6(AT)evansville.edu), _, Aug 05 2004

Rectangular array T by antidiagonals: T(n,k) = rank of n where (n,k) occurs in A097285, for distinct n,k, and T(n,n)=0 for all n.

Every odd number occurs exactly once above the diagonal, and every even, exactly once below the diagonal.

nonn,tabl,new

Rectangular array T by antidiagonals: T(n,k) = rank of n where (n,k) occurs in A097285, for distinct n,k, and T(n,n)=0 for all n.

0, 1, 2, 3, 0, 6, 7, 5, 4, 12, 13, 9, 0, 8, 20, 21, 15, 11, 10, 14, 30, 31, 23, 17, 0, 16, 22, 42, 43, 33, 25, 19, 18, 24, 32, 56, 57, 45, 35, 27, 0, 26, 34, 44, 72, 73, 59, 47, 37, 29, 28, 36, 46, 58, 90, 91, 75, 61, 49, 39, 0, 38, 48, 60, 74, 110, 111, 93, 77, 63, 51, 41, 40, 50, 62

1,3

Every odd number occurs exactly once above the diagonal, and every even, exactly once below the diagonal.

Northwest corner:

0 1 3 7 13

2 0 5 9 15

6 4 0 11 17

12 8 10 0 19

T(1,4)=7 because in A097285 the unique occurrence of 1,4 is

in positions 7,8.

nonn,tabl

Clark Kimberling (ck6(AT)evansville.edu), Aug 05 2004

approved