A146108 Bell numbers (A000110) read mod 18.

1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15

Offset: 0

Author

N. J. A. Sloane, Feb 07 2009

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000 [b-file restored by _Georg Fischer_, Jul 25 2020]
• 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 (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).

Cf. A054767 (periods).

Programs

Magma

[Bell(n) mod 18: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mathematica

Mod[BellB[Range[0,90]],18] (* Harvey P. Dale, Apr 27 2013 *)

Formula

a(n+39) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]