A096809 Square table of signs, read by antidiagonals, where T(n,k)=(-1)^A096810(n,k); related to products of hypercomplex units.

1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..106.

Formula

See A096810 for definition.

Example

The signs of the units in the table begin:
+ + + + + + + + + + + + + + + +
+ - + - + - + - + - + - + - + -
+ - - + + - - + + - - + + - - +
+ + - - + + - - + + - - + + - -
+ - - - - + + + + - - - - + + +
+ + + - - - + - + + + - - - + -
+ - + + - - - + + - + + - - - +
+ + - + - + - - + + - + - + - -
+ - - - - - - - - + + + + + + +
+ + + - + - + - - - + - + - + -
+ - + + + - - + - - - + + - - +
+ + - + + + - - - + - - + + - -
+ - - - + + + + - - - - - + + +
+ + + - - + + - - + + - - - + -
+ - + + - - + + - - + + - - - +
+ + - + - + - + - + - + - + - -

Prog

(PARI) T(n, k)=local(mx, D=6); if(n<0 || k<0, 0, mx=matrix(2^D, 2^D); mx[2, 1]=2; mx[2, 2]=1; for(i=1, D-1, for(r=1, 2^i, for(c=1, 2^i, mx[r, c+2^i]=mx[r, c]; mx[r+2^i, c]=mx[r, c]; mx[r+2^i, c+2^i]=mx[r, c]); mx[1+2^i, r]+=1; mx[r+2^i, r]+=1; mx[r+2^i, 1+2^i]+=1; )); (-1)^mx[n+1, k+1])

Crossrefs

Cf. A096810.

Sequence in context: A362927 A362928 A071935 * A131561 A110515 A355437

Adjacent sequences: A096806 A096807 A096808 * A096810 A096811 A096812

Keyword

sign,tabl

Author

Paul D. Hanna, Jul 21 2004

Status

approved