A166282 Matrix inverse of Sierpinski's triangle (A047999, Pascal's triangle mod 2).

1, -1, 1, -1, 0, 1, 1, -1, -1, 1, -1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1

Offset: 0

Author

Gerald McGarvey, Oct 10 2009

Keywords

• easy
• sign
• tabl

Comments

In absolute values equal to A047999. - M. F. Hasler, Jun 06 2016

Examples

			Triangle begins:
    1,
   -1, 1,
   -1, 0, 1,
    1,-1,-1, 1,
   -1, 0, 0, 0, 1,
    1,-1, 0, 0,-1, 1,
    1, 0,-1, 0,-1, 0, 1,
   -1, 1, 1,-1, 1,-1,-1, 1,
   -1, 0, 0, 0, 0, 0, 0, 0, 1,
    1,-1, 0, 0, 0, 0, 0, 0,-1, 1,
    1, 0,-1, 0, 0, 0, 0, 0,-1, 0, 1,
   -1, 1, 1,-1, 0, 0, 0, 0, 1,-1,-1, 1,
    1, 0, 0, 0,-1, 0, 0, 0,-1, 0, 0, 0, 1,
   ...
		

Crossrefs

Cf. A007318, A047999.

Programs

PARI

p=2; s=13; P=matpascal(s); PM=matrix(s+1,s+1,n,k,P[n,k]%p); IPM = 1/PM;
for(n=1,s,for(k=1,n,print1(IPM[n,k],","));print())