|
%I #18 Nov 05 2018 03:07:28
%S 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,
%T 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,
%U 3,5,9,9,7,3,4,2,8,10,3,8,7,8,8,5,10,6,3,1,4,10
%N Motzkin numbers A001006 read mod 11.
%H Rob Burns, <a href="https://arxiv.org/abs/1612.08146">Structure and asymptotics for Motzkin numbers modulo small primes using automata</a>, arXiv:1612.08146 [math.NT], 2016.
%H Anders Hyllengren, <a href="/A258710/a258710.pdf">Letter to N. J. A. Sloane, Oct 04 1985</a>
%t m[0] = 1; m[n_] := m[n] = m[n-1] + Sum[m[k] m[n-k-2], {k, 0, n-2}];
%t a[n_] := Mod[m[n], 11];
%t Array[a, 100, 0] (* _Jean-François Alcover_, Nov 05 2018 *)
%Y Cf. A001006.
%Y Motzkin numbers A001006 read mod 2,3,4,5,6,7,8,11: A039963, A039964, A299919, A258712, A299920, A258711, A299918, A258710.
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Jun 14 2015
|
