A146117 Bell numbers (A000110) read mod 27.

1, 1, 2, 5, 15, 25, 14, 13, 9, 6, 10, 6, 4, 1, 7, 23, 23, 0, 22, 5, 1, 15, 6, 1, 15, 13, 19, 10, 23, 2, 24, 13, 5, 4, 6, 21, 10, 24, 10, 19, 10, 20, 14, 24, 7, 23, 22, 0, 6, 1, 6, 22, 19, 7, 5, 23, 18, 13, 14, 1, 15, 24, 19, 15, 22, 10, 1, 23, 20, 24, 13, 14, 22, 15, 3, 1, 24, 10, 10, 19, 11

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 117.

Crossrefs

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

Cf. A054767 (periods).

Programs

Magma

[Bell(n) mod 27: n in [0..100]]; // G. C. Greubel, Feb 02 2016

Mathematica

Mod[BellB[Range[0, 80]], 27] (* Harvey P. Dale, Dec 17 2011 *)

Formula

a(n+117) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]