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Square array read by antidiagonals: T(m,n) (m>=0, n>=0) = (2^floor(m/2)-1)*(2^ceiling(n/2)+1).
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%I #6 Jul 08 2016 19:42:17

%S 0,0,0,2,0,0,2,3,0,0,6,3,3,0,0,6,9,3,5,0,0,14,9,9,5,5,0,0,14,21,9,15,

%T 5,9,0,0,30,21,21,15,15,9,9,0,0,30,45,21,35,15,27,9,17,0,0,62,45,45,

%U 35,35,27,27,17,17,0,0,62,93,45,75,35,63,27,51,17,33,0,0,126,93,93,75,75,63,63,51

%N Square array read by antidiagonals: T(m,n) (m>=0, n>=0) = (2^floor(m/2)-1)*(2^ceiling(n/2)+1).

%e The array begins:

%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

%e 2, 3, 3, 5, 5, 9, 9, 17, 17, 33, 33, 65, 65, ...

%e 2, 3, 3, 5, 5, 9, 9, 17, 17, 33, 33, 65, 65, ...

%e 6, 9, 9, 15, 15, 27, 27, 51, 51, 99, 99, 195, 195, ...

%e 6, 9, 9, 15, 15, 27, 27, 51, 51, 99, 99, 195, 195, ...

%e 14, 21, 21, 35, 35, 63, 63, 119, 119, 231, 231, 455, 455, ...

%e ...

%Y The main diagonal is A274638. Cf. A274635, A274636.

%K nonn,tabl

%O 0,4

%A _N. J. A. Sloane_, Jul 08 2016