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%I #4 Mar 30 2012 18:51:39
%S 1,0,1,1,1,1,10,7,2,1,141,71,13,3,1,2548,1001,132,19,4,1,56197,18089,
%T 1861,193,25,5,1,1463670,398959,33630,2721,254,31,6,1,43966297,
%U 10391023,741721,49171,3581,315,37,7,1,1496317768,312129649,19318376,1084483
%N Square array read by antidiagonals of T(n,k)=(4k-2)*T(n,k-1)+T(n,k-2) with T(n,0)=1 and T(n,1)=n.
%F T(n, k) =2*T(n-1, k)-T(n-2, k). T(n, k)/T(1, k) tends to ( (n-1)*e - (n-3) )/2 as k increases: e.g. T(3, k)/T(1, k) tends to e.
%e Rows start: 1,0,1,10,141,2548,56197,...; 1,1,7,71,1001,18089,398959,...; 1,2,13,132,1861,33630,741721,...; 1,3,19,193,2721,49171,1084483,...; etc.
%Y Rows include A002119 (unsigned), A079165, A001517. Columns include A000012, A001477, A016921 (offset).
%K nonn,tabl
%O 0,7
%A _Henry Bottomley_, Dec 31 2002
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