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A258711 Motzkin numbers A001006 read mod 7. 9

%I

%S 1,1,2,4,2,0,2,1,1,2,4,2,6,3,3,3,6,5,6,5,1,0,0,0,0,0,1,6,5,5,3,6,3,5,

%T 5,2,2,4,1,4,4,0,1,1,2,4,2,0,2,1,1,2,4,2,0,2,1,1,2,4,2,6,3,3,3,6,5,6,

%U 5,1,0,0,0,0,0,1,6,5,5,3,6,3,5,5,2,2,4,1,4

%N Motzkin numbers A001006 read mod 7.

%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>

%o (PARI) a001006(n) = polcoeff((1-x-sqrt((1-x)^2-4*x^2+x^3*O(x^n)))/(2*x^2), n);

%o vector(200, n, n--; a001006(n) % 7) \\ _Altug Alkan_, Oct 23 2015

%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

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Last modified May 26 21:13 EDT 2018. Contains 304644 sequences. (Running on oeis4.)