cp's OEIS Frontend

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

%I A166282 #5 Jun 06 2016 23:43:34
%S A166282 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,
%T A166282 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,
%U A166282 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
%N A166282 Matrix inverse of Sierpinski's triangle (A047999, Pascal's triangle mod 2).
%C A166282 In absolute values equal to A047999. - _M. F. Hasler_, Jun 06 2016
%e A166282 Triangle begins:
%e A166282     1,
%e A166282    -1, 1,
%e A166282    -1, 0, 1,
%e A166282     1,-1,-1, 1,
%e A166282    -1, 0, 0, 0, 1,
%e A166282     1,-1, 0, 0,-1, 1,
%e A166282     1, 0,-1, 0,-1, 0, 1,
%e A166282    -1, 1, 1,-1, 1,-1,-1, 1,
%e A166282    -1, 0, 0, 0, 0, 0, 0, 0, 1,
%e A166282     1,-1, 0, 0, 0, 0, 0, 0,-1, 1,
%e A166282     1, 0,-1, 0, 0, 0, 0, 0,-1, 0, 1,
%e A166282    -1, 1, 1,-1, 0, 0, 0, 0, 1,-1,-1, 1,
%e A166282     1, 0, 0, 0,-1, 0, 0, 0,-1, 0, 0, 0, 1,
%e A166282    ...
%o A166282 (PARI) p=2; s=13; P=matpascal(s); PM=matrix(s+1,s+1,n,k,P[n,k]%p); IPM = 1/PM;
%o A166282 for(n=1,s,for(k=1,n,print1(IPM[n,k],","));print())
%Y A166282 Cf. A007318, A047999.
%K A166282 easy,sign,tabl
%O A166282 0,1
%A A166282 _Gerald McGarvey_, Oct 10 2009