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A146103 Bell numbers (A000110) read mod 13. 7

%I #10 Sep 08 2022 08:45:38

%S 1,1,2,5,2,0,8,6,6,9,2,9,11,2,3,7,7,2,8,1,12,2,11,11,7,0,5,10,1,9,10,

%T 9,0,1,0,9,5,7,5,2,11,10,6,6,9,1,1,9,1,12,12,7,0,8,3,12,2,10,2,10,10,

%U 0,11,6,7,8,11,2,1,12,12,12,7,10,11,4,0,2,6,0,3,0,11,11,6,4,8,2,4,2,8,6,3,3

%N Bell numbers (A000110) read mod 13.

%H G. C. Greubel, <a href="/A146103/b146103.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+25239592216021) = a(n). - _G. C. Greubel_, Jan 31 2016

%t Mod[BellB[Range[0, 100]], 13] (* _G. C. Greubel_, Jan 31 2016 *)

%o (Magma) [Bell(n) mod 13: n in [0..100]]; // _Vincenzo Librandi_, Feb 01 2016

%Y Cf. A000110, A146099, A146100, A146101, A146102, A146104, A146105, A146106.

%K nonn

%O 0,3

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

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