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A299919 Motzkin numbers (A001006) mod 4. 9
1, 1, 2, 0, 1, 1, 3, 3, 3, 3, 0, 2, 3, 3, 2, 0, 3, 3, 2, 0, 3, 3, 3, 3, 1, 1, 0, 2, 1, 1, 3, 3, 3, 3, 2, 0, 3, 3, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 3, 3, 0, 2, 3, 3, 2, 0, 3, 3, 2, 0, 3, 3, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Robert Israel, Table of n, a(n) for n = 0..10000

MAPLE

f:= 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 4, n=0..200); # Robert Israel, Mar 16 2018

MATHEMATICA

b = DifferenceRoot[Function[{b, n}, {3(n+1) b[n] + (2n+5) b[n+1] == (n+4) b[n+2], b[0] == 1, b[1] == 1}]];

a[n_] := Mod[b[n], 4];

Table[a[n], {n, 0, 100}] (* Jean-Fran├žois 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: A172237 A246181 A123226 * A238270 A292521 A215086

Adjacent sequences:  A299916 A299917 A299918 * A299920 A299921 A299922

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 16 2018

STATUS

approved

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Last modified July 27 07:50 EDT 2021. Contains 346304 sequences. (Running on oeis4.)