A127822 Triangle whose row sums modulo 2 give the Fredholm-Rueppel sequence A036987.

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, 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, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Paul Barry, Jan 30 2007

Keywords

• easy
• nonn
• tabl

Comments

Row sums are A111982. Unsigned version of A111967.

Examples

			Triangle begins
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, 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, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
		

Formula

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}