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

0,1

Comments

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

Links

Table of n, a(n) for n=0..90.

Example

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,
   ...

Prog

(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())

Crossrefs

Cf. A007318, A047999.

Sequence in context: A078556 A144093 A143200 * A047999 A323378 A054431

Adjacent sequences: A166279 A166280 A166281 * A166283 A166284 A166285

Keyword

easy,sign,tabl

Author

Gerald McGarvey, Oct 10 2009

Status

approved