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A157412
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Triangular read by rows: T(n,m) = J(prime(n),prime(m)) where J is the Jacobi symbol. Each row starts with prime(2) = 3.
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1
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0, -1, 0, 1, -1, 0, -1, 1, 1, 0, 1, -1, -1, -1, 0, -1, -1, -1, -1, 1, 0, 1, 1, -1, -1, -1, 1, 0, -1, -1, 1, 1, 1, -1, 1, 0, -1, 1, 1, -1, 1, -1, -1, 1, 0, 1, 1, -1, 1, -1, -1, -1, 1, -1, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| Row sums are {0, -1, 0, 1, -2, -3, 0, 1, 0, -1,...}
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EXAMPLE
| 0;
-1, 0;
1, -1, 0;
-1, 1, 1, 0;
1, -1, -1, -1, 0;
-1, -1, -1, -1, 1, 0;
1, 1, -1, -1, -1, 1, 0;
-1, -1, 1, 1, 1, -1, 1, 0;
-1, 1, 1, -1, 1, -1, -1, 1, 0;
1, 1, -1, 1, -1, -1, -1, 1, -1, 0;
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MAPLE
| for n from 2 to 11 do for m from 2 to n do printf("%d, ", numtheory[jacobi](ithprime(n), ithprime(m))) ; od: od:
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MATHEMATICA
| Flatten[Table[JacobiSymbol[Prime[n], Prime[m]], {n, 2, 11}, {m, 2, n}]](* Zak Seidov, Mar 29 2011 *)
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PROG
| (PARI) forprime(p=3, 19, forprime(q=3, p, print1(kronecker(p, q)", "))) \\ Charles R Greathouse IV, Oct 31 2011
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CROSSREFS
| Cf. A110242.
Sequence in context: A123640 A022924 A144612 * A023532 A030308 A112690
Adjacent sequences: A157409 A157410 A157411 * A157413 A157414 A157415
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KEYWORD
| tabl,sign,easy
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 28 2009
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EXTENSIONS
| Edited by the Associate Editors of the OEIS, Apr 22 2009
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