A146100 Bell numbers (A000110) read mod 10.

1, 1, 2, 5, 5, 2, 3, 7, 0, 7, 5, 0, 7, 7, 2, 5, 7, 4, 9, 7, 2, 1, 3, 6, 9, 3, 4, 9, 5, 2, 7, 3, 4, 7, 9, 0, 7, 1, 6, 9, 7, 8, 7, 5, 6, 5, 5, 2, 1, 1, 0, 7, 3, 2, 1, 7, 0, 5, 3, 8, 7, 5, 8, 1, 5, 2, 3, 9, 6, 7, 5, 2, 5, 3, 2, 7, 7, 8, 5, 9, 4, 5, 3, 4, 3, 9, 8, 7, 7, 2, 7, 5, 4, 9, 9, 2, 9, 3, 8, 1, 1, 2, 1, 9, 2

Offset: 0

Author

N. J. A. Sloane, Feb 07 2009

Keywords

• nonn

Comments

Sequence is of period A054767(10) = 2343. - Jianing Song, Jun 20 2025

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 2343.

Crossrefs

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

Cf. A054767 (periods).

Programs

Magma

[Bell(n) mod 10: n in [0..100]]; // Vincenzo Librandi, Feb 01 2016

Mathematica

Mod[BellB[Range[0, 100]], 10] (* G. C. Greubel, Jan 31 2016 *)