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A299920 Motzkin numbers (A001006) mod 6. 11
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
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: A308182 A220080 A343766 * A352962 A137363 A110549
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 16 2018
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)