login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

A Thue-Morse triangle.
1

%I #2 Mar 30 2012 18:59:19

%S 1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,

%T 0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1

%N A Thue-Morse triangle.

%C Row sums are A127238. Diagonal sums are A127242. Central coefficients give A000012.

%F Number triangle T(n,k)=A010060(binomial(k,n-k))

%e Triangle begins

%e 1,

%e 0, 1,

%e 0, 1, 1,

%e 0, 0, 1, 1,

%e 0, 0, 1, 0, 1,

%e 0, 0, 0, 0, 1, 1,

%e 0, 0, 0, 1, 0, 0, 1,

%e 0, 0, 0, 0, 1, 0, 0, 1,

%e 0, 0, 0, 0, 1, 0, 0, 1, 1,

%e 0, 0, 0, 0, 0, 0, 0, 1, 1, 1,

%e 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1

%K easy,nonn,tabl

%O 0,1

%A _Paul Barry_, Jan 10 2007