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A274635 Square array read by antidiagonals: T(m,n) (m>=0, n>=0) = (2^floor(m/2)-1)*(2^ceiling(n/2)-1). 3

%I #5 Jul 08 2016 19:31:11

%S 0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,3,1,3,0,0,0,3,3,3,3,0,0,0,7,3,9,3,7,

%T 0,0,0,7,7,9,9,7,7,0,0,0,15,7,21,9,21,7,15,0,0,0,15,15,21,21,21,21,15,

%U 15,0,0,0,31,15,45,21,49,21,45,15,31,0,0,0,31,31,45,45,49,49,45,45,31,31,0

%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 0, 1, 1, 3, 3, 7, 7, 15, 15, 31, 31, 63, 63, ...

%e 0, 1, 1, 3, 3, 7, 7, 15, 15, 31, 31, 63, 63, ...

%e 0, 3, 3, 9, 9, 21, 21, 45, 45, 93, 93, 189, 189, ...

%e 0, 3, 3, 9, 9, 21, 21, 45, 45, 93, 93, 189, 189, ...

%e 0, 7, 7, 21, 21, 49, 49, 105, 105, 217, 217, 441, 441, ...

%e ...

%Y The main diagonal is A274230. Cf. A274636.

%K nonn,tabl

%O 0,17

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

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