A282551 Dimension of the kernel of the modulo 2 Wendt matrix of dimension n.

0, 0, 2, 0, 0, 4, 6, 0, 2, 0, 0, 8, 0, 12, 14, 0, 0, 4, 0, 0, 6, 0, 0, 16, 0, 0, 2, 24, 0, 28, 30, 0, 2, 0, 6, 8, 0, 0, 2, 0, 0, 12, 0, 0, 14, 0, 0, 32, 6, 0, 2, 0, 0, 4, 0, 48, 2, 0, 0, 56, 0, 60, 62, 0, 0, 4, 0, 0, 0, 12, 0, 16, 0, 0, 14, 0, 0, 4, 0, 0, 0, 0, 0, 24

Offset

1,3

Links

Table of n, a(n) for n=1..84.

Jonathan Chappelon, Periodic balanced binary triangles, arXiv:1702.03236 [math.CO], 2016. See Table 1.

Mathematica

a[n_] := Table[Mod[Binomial[n, Abs[i-j]], 2], {i, n}, {j, n}] // NullSpace // Length;
Array[a, 100] (* Jean-François Alcover, Sep 28 2018 *)

Prog

(PARI) a(n) = matsize(matker(matrix(n, n, i, j, binomial(n, abs(i-j)) % 2)))[2];

Crossrefs

Sequence in context: A213370 A244138 A284611 * A333706 A056676 A352450

Adjacent sequences: A282548 A282549 A282550 * A282552 A282553 A282554

Keyword

nonn

Author

Michel Marcus, Feb 18 2017

Status

approved