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A258711
Motzkin numbers A001006 read mod 7.
11
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, 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, 5, 1, 0, 0, 0, 0, 0, 1, 6, 5, 5, 3, 6, 3, 5, 5, 2, 2, 4, 1, 4
OFFSET
0,3
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], 7];
Array[a, 100, 0] (* Jean-François Alcover, Nov 05 2018 *)
PROG
(PARI) a001006(n) = polcoeff((1-x-sqrt((1-x)^2-4*x^2+x^3*O(x^n)))/(2*x^2), n);
vector(200, n, n--; a001006(n) % 7) \\ Altug Alkan, Oct 23 2015
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: A209466 A277659 A331144 * A127278 A356165 A366589
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 14 2015
STATUS
approved