A258710 Motzkin numbers A001006 read mod 11.

1, 1, 2, 4, 9, 10, 7, 6, 4, 10, 10, 1, 1, 2, 4, 9, 10, 7, 6, 4, 9, 0, 3, 3, 6, 1, 5, 8, 10, 7, 1, 6, 10, 7, 7, 3, 6, 8, 4, 5, 9, 6, 9, 10, 8, 8, 5, 10, 6, 3, 1, 4, 10, 9, 8, 7, 7, 3, 6, 8, 4, 5, 9, 6, 3, 5, 9, 9, 7, 3, 4, 2, 8, 10, 3, 8, 7, 8, 8, 5, 10, 6, 3, 1, 4, 10

Offset

0,3

Links

Table of n, a(n) for n=0..85.

Rob Burns, Structure and asymptotics for Motzkin numbers modulo small primes using automata, arXiv:1612.08146 [math.NT], 2016.

Anders Hyllengren, Letter to N. J. A. Sloane, Oct 04 1985

Mathematica

m[0] = 1; m[n_] := m[n] = m[n-1] + Sum[m[k] m[n-k-2], {k, 0, n-2}];
a[n_] := Mod[m[n], 11];
Array[a, 100, 0] (* Jean-François Alcover, Nov 05 2018 *)

Crossrefs

Cf. A001006.

Motzkin numbers A001006 read mod 2,3,4,5,6,7,8,11: A039963, A039964, A299919, A258712, A299920, A258711, A299918, A258710.

Sequence in context: A111422 A279035 A076661 * A246515 A275658 A267414

Adjacent sequences: A258707 A258708 A258709 * A258711 A258712 A258713

Keyword

nonn

Author

N. J. A. Sloane, Jun 14 2015

Status

approved