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 A299920 Motzkin numbers (A001006) mod 6. 9
 1, 1, 2, 4, 3, 3, 3, 1, 5, 1, 4, 2, 1, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 1, 2, 4, 1, 5, 1, 3, 3, 3, 4, 2, 1, 1, 5, 1, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 4, 5, 1, 4, 2, 1, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 MAPLE f:= gfun:-rectoproc({(3+3*n)*a(n)+(5+2*n)*a(1+n)+(-4-n)*a(n+2), a(0) = 1, a(1) = 1}, a(n), remember): seq(f(n) mod 6, n=0..100); # Robert Israel, Mar 16 2018 MATHEMATICA b = DifferenceRoot[Function[{b, n}, {3 (n + 1) b[n] + (2 n + 5) b[n + 1] == (n + 4) b[n + 2], b[0] == 1, b[1] == 1}]]; a[n_] := Mod[b[n], 6]; Table[a[n], {n, 0, 100}] (* Jean-François Alcover, Feb 26 2019 *) CROSSREFS Motzkin numbers A001006 read mod 2,3,4,5,6,7,8,11: A039963, A039964, A299919, A258712, A299920, A258711, A299918, A258710. Sequence in context: A244646 A308182 A220080 * A137363 A110549 A174574 Adjacent sequences:  A299917 A299918 A299919 * A299921 A299922 A299923 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 16 2018 STATUS approved

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Last modified November 24 07:53 EST 2020. Contains 338607 sequences. (Running on oeis4.)