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Search: id:A096809
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| A096809 |
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Square table of signs, read by antidiagonals, where T(n,k)=(-1)^A096810(n,k); related to products of hypercomplex units. |
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+0
3
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| 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; listen)
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OFFSET
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0,1
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FORMULA
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See A096810 for definition.
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EXAMPLE
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The signs of the units in the table begin:
+ + + + + + + + + + + + + + + +
+ - + - + - + - + - + - + - + -
+ - - + + - - + + - - + + - - +
+ + - - + + - - + + - - + + - -
+ - - - - + + + + - - - - + + +
+ + + - - - + - + + + - - - + -
+ - + + - - - + + - + + - - - +
+ + - + - + - - + + - + - + - -
+ - - - - - - - - + + + + + + +
+ + + - + - + - - - + - + - + -
+ - + + + - - + - - - + + - - +
+ + - + + + - - - + - - + + - -
+ - - - + + + + - - - - - + + +
+ + + - - + + - - + + - - - + -
+ - + + - - + + - - + + - - - +
+ + - + - + - + - + - + - + - -
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PROGRAM
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(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])}
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CROSSREFS
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Cf. A096810.
Adjacent sequences: A096806 A096807 A096808 this_sequence A096810 A096811 A096812
Sequence in context: A143431 A065357 A071935 this_sequence A110515 A071936 A084904
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KEYWORD
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sign,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 21 2004
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