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A258711
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Motzkin numbers A001006 read mod 7.
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11
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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
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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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];
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PROG
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(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
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CROSSREFS
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Motzkin numbers A001006 read mod 2,3,4,5,6,7,8,11: A039963, A039964, A299919, A258712, A299920, A258711, A299918, A258710.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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