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%I #8 Mar 30 2012 18:51:33
%S 0,0,1,0,1,0,0,1,1,1,0,1,2,2,0,0,1,3,5,2,1,0,1,4,10,10,3,0,0,1,5,17,
%T 30,21,3,1,0,1,6,26,68,91,42,4,0,0,1,7,37,130,273,273,85,4,1,0,1,8,50,
%U 222,651,1092,820,170,5,0,0,1,9,65,350,1333,3255,4369,2460,341,5,1,0,1,10
%N As a square table by antidiagonals, the n-digit number which in base k starts 1010101...
%F T(n, k)=floor[k^(n+1)/(k^2-1)] =T(n-2, k)+k^(n-1) =k*T(n-1, k)-((-1)^n-1)/2
%e T(5,3)=10101 base 3=81+9+1=91; T(4,6)=1010 base 6=216+6=222. Table starts {0,0,0,0,...}, {1,1,1,1,...}, {0,1,2,3,...}, {1,2,5,10,...}, ...
%Y Rows include A000004, A000012, A001477, A002522, A034262, A059826, A059830, A059839. Columns include A000035, A008619, A000975, A033113, A033114, A033115, A033116, A033117, A033118, A033119, A056830.
%K nonn,tabl,base
%O 0,13
%A _Henry Bottomley_, Feb 26 2001
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