A146113 - OEIS

%I #9 Sep 08 2022 08:45:38

%S 1,1,2,5,15,6,19,3,0,10,9,1,20,1,12,9,5,6,6,9,4,16,22,2,3,7,20,21,2,

%T 22,3,10,19,10,21,21,13,21,14,11,12,15,13,20,15,1,5,10,4,18,0,1,2,13,

%U 6,6,8,19,11,11,12,2,0,4,5,10,12,16,6,15,14,22,18,1,3,15,19,12,14,4,7,22,0,14

%N Bell numbers (A000110) read mod 23.

%C Conjecture: a(n+949112181811268728834319677753) = a(n). - _G. C. Greubel_, Feb 02 2016

%H G. C. Greubel, <a href="/A146113/b146113.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, 100]], 23] (* _G. C. Greubel_, Feb 02 2016 *)

%o (Magma) [Bell(n) mod 23: n in [0..100]]; // _G. C. Greubel_, Feb 02 2016

%Y Cf. A000110, A146110, A146111, A146112, A146114, A146115, A146116.

%K nonn

%O 0,3

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