A146093 Bell numbers (A000110) read mod 3.

1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..2500

W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

a(n+13) = a(n). - G. C. Greubel, Jan 30 2016

Mathematica

Mod[BellB[Range[0, 110]], 3] (* Harvey P. Dale, Oct 31 2013 *)

Prog

(Magma) [Bell(n) mod 3: n in [0..100]]; // Vincenzo Librandi, Jan 30 2016
(PARI) a(n)=594454\3^(n%13)%3 \\ Charles R Greathouse IV, Feb 02 2026

Crossrefs

Cf. A000110, A146094-A146122. A054767 gives periods. See also A002034.

Sequence in context: A249371 A122190 A237291 * A091269 A287455 A216789

Adjacent sequences: A146090 A146091 A146092 * A146094 A146095 A146096

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 07 2009

Status

approved