A110242 - OEIS

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A110242

A Jacobi triangle.

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..90.

FORMULA

T(n, k) = if(k<=n, Jacobi(n, 2n-2k+1), 0).

EXAMPLE

Rows begin

1,1;

-1,-1,1;

-1,-1,0,1;

1,1,1,1,1;

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

MAPLE

A110242 := proc(n, k)

if k<0 or k> n then

else

numtheory[jacobi](n, 2*n-2*k+1) ;

end if;

end proc: # R. J. Mathar, Feb 20 2015

MATHEMATICA

T[n_, k_] := JacobiSymbol[n, 2n - 2k + 1];

Table[T[n, k], {n, 0, 12}, {k, 0, n}] // Flatten (* Jean-François Alcover, Mar 29 2020 *)

CROSSREFS

Row sums are A110243. Diagonal sums are A110244. Inverse is A110245.

Sequence in context: A353628 A359551 A353458 * A356315 A273592 A279693

Adjacent sequences: A110239 A110240 A110241 * A110243 A110244 A110245

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Jul 17 2005

STATUS

approved