A128810 Triangle formed by reading triangle A064189 mod 2 .

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

Offset

0,1

Comments

Also triangle formed by reading triangles A091965, A108149, A110877, A125906, A126954 mod 2 .

Links

Table of n, a(n) for n=0..104.

Formula

Sum_{k, 0<=k<=n}T(n,k)*x^k=A039963(n), A097357(n+1), A110565(n+1) for x=0,1,2 respectively . T(n,k)= (T(n-1,k-1)+T(n-1,k)+T(n-1,k+1)) mod 2, T(0,0)=1, T(n,k)=0 if k<0 or if k>n .

Example

Triangle begins:
1;
1, 1;
0, 0, 1;
0, 1, 1, 1;
1, 0, 1, 0, 1;
1, 0, 1, 0, 1, 1;
1, 0, 1, 0, 0, 0, 1;
1, 0, 1, 1, 0, 1, 1, 1;
1, 0, 0, 0, 0, 0, 1, 0, 1;
1, 1, 0, 0, 0, 1, 1, 0, 1, 1;
0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1 ;...

Crossrefs

Sequence in context: A244528 A145379 A258869 * A355946 A123272 A266623

Adjacent sequences: A128807 A128808 A128809 * A128811 A128812 A128813

Keyword

nonn,tabl

Author

Philippe Deléham, Apr 09 2007

Status

approved