%I #12 Sep 08 2022 08:45:38

%S 1,1,2,5,15,14,13,3,17,0,18,4,5,7,14,16,15,1,10,2,3,7,1,10,8,16,1,17,

%T 18,3,9,12,2,11,12,16,11,12,5,10,8,11,18,5,17,18,16,2,12,2,14,13,4,9,

%U 8,4,17,15,18,0,10,4,3,16,15,18,14,14,16,8,17,13,17,12,2,13,14,18,10,14,7,0,12

%N Bell numbers (A000110) read mod 19.

%C Conjecture: a(n+109912203092239643840221) = a(n). - _G. C. Greubel_, Feb 01 2016

%H G. C. Greubel, <a href="/A146109/b146109.txt">Table of n, a(n) for n = 0..10000</a>

%H W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa35/aa3511.pdf">Arithmetic properties of Bell numbers to a composite modulus I</a>, Acta Arithmetica 35 (1979), pp. 1-16.

%t Mod[BellB[Range[0,90]],19] (* _Harvey P. Dale_, May 04 2014 *)

%o (Magma) [Bell(n) mod 19: n in [0..100]]; // _Vincenzo Librandi_, Feb 02 2016

%Y Cf. A000110, A146106, A146107, A146108, A146110, A146111, A146112.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Feb 07 2009