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%I #21 Sep 14 2013 13:39:13
%S 0,1,1,2,3,4,3,6,10,14,4,9,18,32,46,5,12,27,55,101,147,6,15,36,81,168,
%T 315,462,7,18,45,108,244,513,975,1437,8,21,54,135,324,736,1564,2539,
%U 3976,9,24,63,162,405,973,2222,4761,8737,12713
%N Square array read by antidiagonals, where the top row is the nonnegative integers and the other numbers are the sum of the neighbors in the preceding row.
%C Each number in the top row of the array is determined by the pre-defined sequence (in this case, the nonnegative integers). Each number in lower rows is the sum of the numbers vertically or diagonally above it (so, the number at the left end of each row is the sum of two numbers, and all other numbers the sum of three).
%F T(m+1,n) = sum(T(m,k), |k-n| <= 1) (and T(0,n)=n), m, n >= 0. - _M. F. Hasler_, Oct 09 2012
%e The array starts:
%e 0 1 2 3
%e 1 3 6 9
%e 4 10 18 27
%e 14 32 55 81
%K nonn,tabl
%O 1,4
%A _WG Zeist_, Oct 06 2012
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