A146101 - OEIS

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

%S 1,1,2,5,4,8,5,8,4,5,2,2,3,7,9,1,2,2,1,9,7,4,5,10,5,10,3,4,3,10,5,0,9,

%T 4,4,4,2,7,7,2,4,5,9,2,8,8,6,9,3,9,6,9,3,0,10,5,3,4,1,1,4,4,1,3,10,4,

%U 8,7,5,2,5,8,5,4,2,3,1,4,1,7,7,2,2,9,6,5,4,5,5,8,3,9,4,0,4,0,9,9,10,2,0,1,2

%N Bell numbers (A000110) read mod 11.

%H G. C. Greubel, <a href="/A146101/b146101.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]], 11] (* _G. C. Greubel_, Jan 31 2016 *)

%o (Magma) [Bell(n) mod 11: n in [0..100]]; // _Vincenzo Librandi_, Feb 01 2016

%Y Cf. A000110, A146098, A146099, A146100, A146102, A146103, A146104.

%K nonn

%O 0,3

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