login
Bell numbers (A000110) read mod 14.
7

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

%S 1,1,2,5,1,10,7,9,10,7,13,4,3,9,12,3,13,10,7,5,0,1,9,2,3,5,12,1,3,4,5,

%T 1,10,13,11,0,9,13,4,9,3,4,9,1,10,13,5,0,13,3,4,9,11,12,13,9,0,13,13,

%U 2,11,1,2,13,5,8,13,5,10,1,11,6,7,11,8,11,5,10,13,11,12,5,9,8,9,3,2,3,7,10,3

%N Bell numbers (A000110) read mod 14.

%H G. C. Greubel, <a href="/A146104/b146104.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+411771) = a(n). - _G. C. Greubel_, Feb 01 2016

%t Mod[BellB[Range[0,100]],14] (* _Harvey P. Dale_, Sep 10 2012 *)

%o (Magma) [Bell(n) mod 14: n in [0..100]]; // _Vincenzo Librandi_, Feb 02 2016

%Y Cf. A000110, A146101, A146102, A146103, A146105, A146106, A146107.

%K nonn

%O 0,3

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