A146115 Bell numbers (A000110) read mod 25.

1, 1, 2, 5, 15, 2, 3, 2, 15, 22, 0, 20, 22, 12, 22, 20, 22, 4, 9, 7, 22, 1, 23, 21, 14, 3, 24, 14, 5, 22, 22, 3, 19, 22, 24, 20, 17, 16, 21, 9, 17, 13, 17, 10, 1, 15, 5, 7, 11, 6, 20, 2, 13, 7, 11, 12, 0, 20, 13, 18, 12, 20, 13, 11, 20, 22, 13, 9, 11, 7, 20, 12, 20, 8, 2, 22, 7, 23, 20, 4, 19

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 3905.

Crossrefs

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

Cf. A054767 (periods).

Programs

Magma

[Bell(n) mod 25: n in [0..100]]; // G. C. Greubel, Feb 02 2016

Mathematica

Mod[BellB[Range[0,80]],25] (* Harvey P. Dale, Oct 24 2011 *)

Formula

a(n+3905) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]