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Triangle whose row sums modulo 2 give the Fredholm-Rueppel sequence A036987.
0

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

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

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

%U 1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0

%N Triangle whose row sums modulo 2 give the Fredholm-Rueppel sequence A036987.

%C Row sums are A111982. Unsigned version of A111967.

%F G.f. of k-th column is x^k*if(k=0,1,x*sum{j=0..\infty, x^(-2^(j/2)*(((k+2)/(2*sqrt(2))-(k+1))(-1)^j-(k+2)/(2*sqrt(2))-(k+1))-(k+2))+1+x}

%e Triangle begins

%e 1,

%e 0, 1,

%e 0, 1, 1,

%e 0, 1, 1, 1,

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

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

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

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

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

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

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

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

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

%K easy,nonn,tabl

%O 0,1

%A _Paul Barry_, Jan 30 2007