A146112 Bell numbers (A000110) read mod 22.

1, 1, 2, 5, 15, 8, 5, 19, 4, 5, 13, 2, 3, 7, 20, 1, 13, 2, 1, 9, 18, 15, 5, 10, 5, 21, 14, 15, 3, 10, 5, 11, 20, 15, 15, 4, 13, 7, 18, 13, 15, 16, 9, 13, 8, 19, 17, 20, 3, 9, 6, 9, 3, 0, 21, 5, 14, 15, 1, 12, 15, 15, 12, 3, 21, 4, 19, 7, 16, 13, 5, 8, 5, 15, 2, 3, 1, 4, 1, 7, 18, 13, 13, 20, 17, 5

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
• 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, order 85593501183.

Crossrefs

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

Cf. A054767 (periods).

Programs

Mathematica

Mod[BellB[Range[0,90]],22] (* Harvey P. Dale, Jan 21 2014 *)

Formula

a(n+85593501183) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]