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A146093
Bell numbers (A000110) read mod 3.
31
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
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.
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Feb 07 2009
STATUS
approved