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 A096809 Square table of signs, read by antidiagonals, where T(n,k)=(-1)^A096810(n,k); related to products of hypercomplex units. 2
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS 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: A162285 A186035 A071935 * A131561 A110515 A071936 Adjacent sequences:  A096806 A096807 A096808 * A096810 A096811 A096812 KEYWORD sign,tabl AUTHOR Paul D. Hanna, Jul 21 2004 STATUS approved

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Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)