%I A123158
%S A123158 1,1,1,2,2,1,5,5,3,1,15,15,10,5,1,52,52,37,22,6,1,203,203,151,99,31,9,
               1,
%T A123158 877,877,674,471,160,61,10,1,4140,4140,3263,2386,856,385,75,14,1,21147,
%U A123158 21147,17007,12867,4802,2416,520,135,15,1
%N A123158 Square array related to Bell nombers read by antidiagonals.
%F A123158 T(n,k)=0 if n<0, T(0,k)=1 for k>=0, T(n,k)=T(n,k-1)+1/2*(k+1)*T(n-1,k+1)if 
               k is an odd number, T(n,k)=T(n,k-1)+T(n-1,k+1) if k is an even number 
               . T(n,0)=A000110(n) ; T(n,1)=A000110(n+1) ; T(n,2)=A005493(n) ; T(n,
               3)=A033452(n) ; T(n,4)=A003128(n+2)
%e A123158 Square array begins:
%e A123158 1, 1, 1, 1, 1, ... (Row n=0 :A000012)
%e A123158 1, 2, 3, 5, 6, ... (Row n=1 :A117142)
%e A123158 2, 5, 10, 22, 31, ...
%e A123158 5, 15, 37, 99, 160, ...
%e A123158 15, 52, 151, 471, 856, ...
%e A123158 52, 203, 674, 2386, 4802, ...
%Y A123158 Columns : A000110 (Bell numbers), A000110, A005493, A033452, A003128 
               ; Rows : A000012, A117142.
%Y A123158 Sequence in context: A110488 A134379 A108087 this_sequence A133611 A010094 
               A019710
%Y A123158 Adjacent sequences: A123155 A123156 A123157 this_sequence A123159 A123160 
               A123161
%K A123158 easy,nonn,tabl
%O A123158 0,4
%A A123158 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 01 2006