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Another version of triangle in A127743.
2

%I #9 Jan 26 2020 21:04:45

%S 1,0,1,0,1,1,0,2,2,1,0,6,5,3,1,0,22,16,9,4,1,0,92,60,31,14,5,1,0,426,

%T 252,120,52,20,6,1,0,2146,1160,510,209,80,27,7,1,0,11624,5776,2348,

%U 904,335,116,35,8,1,0,67146,30832,11610,4184,1481,507,161,44,9,1

%N Another version of triangle in A127743.

%C Triangle T(n,k), 0 <= k <= n, read by rows given by [0,1,1,2,1,3,1,4,1,5,1,6,1,...] DELTA [1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.

%C Modulo 2, this sequence gives A106344. - _Philippe Deléham_, Dec 18 2008

%C A154380*A130595 as infinite lower triangular matrices. - _Philippe Deléham_, Jan 13 2009

%F Sum_{k=0..n} T(n,k) = A000110(n).

%e Triangle begins:

%e 1;

%e 0, 1;

%e 0, 1, 1;

%e 0, 2, 2, 1;

%e 0, 6, 5, 3, 1;

%e 0, 22, 16, 9, 4, 1;

%e 0, 92, 60, 31, 14, 5, 1; ...

%Y Cf. A074664.

%K nonn,tabl

%O 0,8

%A _Philippe Deléham_, Aug 03 2007