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A124568 Triangle, read by rows, where row n equals the inverse binomial transform of the column n in rectangular table A124550 (starting with row 1).

%I A124568 #3 Mar 30 2012 18:37:01
%S A124568 1,1,1,2,5,3,5,25,36,16,16,143,364,362,125,66,990,3909,6417,4728,1296,
%T A124568 348,8464,48518,116274,135932,76867,16807,2321,89741,720078,2370938,
%U A124568 3923330,3441366,1518460,262144,19437,1180978,12965026,56627440
%N A124568 Triangle, read by rows, where row n equals the inverse binomial transform of the column n in rectangular table A124550 (starting with row 1).
%F A124568 T(n,n) = (n+1)^(n-1) = A000272(n+1). T(n,0) = A124551(n).
%e A124568 Triangle begins:
%e A124568 1;
%e A124568 1, 1;
%e A124568 2, 5, 3;
%e A124568 5, 25, 36, 16;
%e A124568 16, 143, 364, 362, 125;
%e A124568 66, 990, 3909, 6417, 4728, 1296;
%e A124568 348, 8464, 48518, 116274, 135932, 76867, 16807;
%e A124568 2321, 89741, 720078, 2370938, 3923330, 3441366, 1518460, 262144; ...
%Y A124568 Cf. A124550, A124551, A000272.
%K A124568 nonn,tabl
%O A124568 0,4
%A A124568 _Paul D. Hanna_, Nov 08 2006