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A258712 Motzkin numbers A001006 read mod 5. 11
1, 1, 2, 4, 4, 1, 1, 2, 3, 0, 3, 3, 1, 0, 4, 2, 2, 4, 2, 4, 4, 4, 3, 0, 2, 1, 1, 2, 4, 4, 1, 1, 2, 3, 0, 3, 3, 1, 0, 4, 2, 2, 4, 2, 4, 4, 4, 3, 4, 3, 3, 3, 1, 2, 2, 3, 3, 1, 4, 0, 4, 4, 3, 0, 2, 1, 1, 2, 1, 2, 2, 2, 4, 3, 3, 2, 2, 4, 3, 3, 2, 2, 4, 1, 0, 1, 1, 2, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
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], 5];
Table[a[n], {n, 0, 100}] (* Jean-François Alcover, Feb 26 2019 *)
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) % 5) \\ 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: A094225 A358641 A057277 * A238094 A140734 A295633
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 14 2015
STATUS
approved

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Last modified March 19 06:32 EDT 2024. Contains 370953 sequences. (Running on oeis4.)