A323378 - OEIS

A323378

Square array read by antidiagonals: T(n,k) = Kronecker symbol (-n/k), n >= 1, k >= 1.

1, 1, 1, 1, 0, -1, 1, -1, 1, 1, 1, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 1, 0, 1, 0, -1, 0, -1, 1, 1, 0, 1, 1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1

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OFFSET

1,1

COMMENTS

If A215200 is arranged into a square array A215200(n,k) = kronecker symbol(n/k) with n >= 0, k >= 1, then this sequence gives the other half of the array.

Note that there is no such n such that the n-th row and the n-th column are the same.

LINKS

Table of n, a(n) for n=1..78.

Eric Weisstein's World of Mathematics, Kronecker Symbol.

EXAMPLE

Table begins

1, 1, -1, 1, 1, -1, -1, 1, 1, 1, ... ((-1/k) = A034947)

1, 0, 1, 0, -1, 0, -1, 0, 1, 0, ... ((-2/k) = A188510)

1, -1, 0, 1, -1, 0, 1, -1, 0, 1, ... ((-3/k) = A102283)

1, 0, -1, 0, 1, 0, -1, 0, 1, 0, ... ((-4/k) = A101455)

1, -1, 1, 1, 0, -1, 1, -1, 1, 0, ... ((-5/k) = A226162)

1, 0, 0, 0, 1, 0, 1, 0, 0, 0, ... ((-6/k) = A109017)