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A157415
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Triangle read by rows: T(n,m) = Jacobi(prime(n)/prime(m)) + Jacobi(prime(n)/prime(n-m+2)), 2 <= m <= n.
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1
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0, -1, -1, 1, -2, 1, -1, 2, 2, -1, 1, -2, -2, -2, 1, -1, 0, -2, -2, 0, -1, 1, 2, -2, -2, -2, 2, 1, -1, 0, 0, 2, 2, 0, 0, -1, -1, 2, 0, -2, 2, -2, 0, 2, -1, 1, 0, 0, 0, -2, -2, 0, 0, 0, 1
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,5
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COMMENTS
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Row sums are 0, -2, 0, 2, -4, -6, 0, 2, 0, -2, ...
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins
0;
-1, -1;
1, -2, 1;
-1, 2, 2, -1;
1, -2, -2, -2, 1;
-1, 0, -2, -2, 0, -1;
1, 2, -2, -2, -2, 2, 1;
-1, 0, 0, 2, 2, 0, 0, -1;
-1, 2, 0, -2, 2, -2, 0, 2, -1;
1, 0, 0, 0, -2, -2, 0, 0, 0, 1;
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MAPLE
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numtheory[jacobi](ithprime(n), ithprime(m
end proc:
end proc:
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MATHEMATICA
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Table[Table[JacobiSymbol[Prime[n], Prime[m]] + JacobiSymbol[Prime[n], Prime[n - m + 2]], {m, 2, n}], {n, 2, 11}];
Flatten[%]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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