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Bell numbers (A000110) read mod 22.
7

%I #8 Feb 02 2016 12:06:23

%S 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,

%T 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,

%U 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

%N Bell numbers (A000110) read mod 22.

%H G. C. Greubel, <a href="/A146112/b146112.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.

%F a(n+85593501183) = a(n). - _G. C. Greubel_, Feb 02 2016

%t Mod[BellB[Range[0,90]],22] (* _Harvey P. Dale_, Jan 21 2014 *)

%Y Cf. A000110, A146109, A146110, A146111, A146113, A146114, A146115.

%K nonn

%O 0,3

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