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 A215200 Triangle read by rows, Kronecker symbol (n-k|k) for n >= 1, 1 <= k <= n. 8
 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, -1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, -1, 1, 1, -1, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Signed version of A054521. REFERENCES Henri Cohen: A Course in Computational Algebraic Number Theory, p. 29. LINKS G. C. Greubel, Table of n, a(n) for the first 100 rows, flattened Eric Weisstein's World of Mathematics, Kronecker Symbol. EXAMPLE Triangle begins:   1   1  0   1  1  0   1  0  1  0   1 -1 -1  1  0   1  0  0  0  1  0   1 -1  1  1 -1  1  0 From Jianing Song, Dec 26 2018: (Start) This sequence can also be arranged into a square array T(n,k) = Kronecker symbol(n|k) with n >= 0, k >= 1, read by antidiagonals:   1  0  0  0  0  0  0 ... ((0|k) = A000007(k+1))   1  1  1  1  1  1  1 ... ((1|k) = A000012)   1  0 -1  0 -1  0 -1 ... ((2|k) = A091337)   1 -1  0  1 -1  0 -1 ... ((3|k) = A091338)   1  0  1  0  1  0  1 ... ((4|k) = A000035)   1 -1 -1  1  0  1 -1 ... ((5|k) = A080891)   1  0  0  0  1  0 -1 ... ((6|k) = A322796)   1  1  1  1 -1  1  0 ... ((7|k) = A089509)   ... (End) MAPLE A215200_row := n -> seq(numtheory[jacobi](n-k, k), k=1..n); for n from 1 to 13 do A215200_row(n) od; MATHEMATICA Column[Table[KroneckerSymbol[n - k, k], {n, 10}, {k, n}], Center] (* Alonso del Arte, Aug 06 2012 *) PROG (Sage) def A215200_row(n): return [kronecker_symbol(n-k, k) for k in (1..n)] for n in (1..13): print A215200_row(n) (PARI) T(n, k) = kronecker(n-k, k); tabl(n)) = for(n=1, nn, for(k=1, n, print1(T(n, k), ", ")); print); \\ Michel Marcus, Apr 24 2018 (MAGMA) /* As triangle */ [[KroneckerSymbol(n-k, k):  k in [1..n]]: n in [1..21]]; // Vincenzo Librandi, Apr 24 2018 CROSSREFS Rows of square array include: A000012, A091337, A091338, A000035, A080891, A322796, A089509. Cf. A054521, A215283, A215284, A215285. Sequence in context: A168030 A128431 A290452 * A054521 A014240 A014471 Adjacent sequences:  A215197 A215198 A215199 * A215201 A215202 A215203 KEYWORD sign,tabl AUTHOR Peter Luschny, Aug 05 2012 STATUS approved

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Last modified February 23 12:35 EST 2019. Contains 320431 sequences. (Running on oeis4.)