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A146106 Bell numbers (A000110) read mod 16. 7

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

%S 1,1,2,5,15,4,11,13,12,11,7,10,13,5,10,1,3,12,15,1,12,15,11,10,9,9,2,

%T 13,7,4,3,5,12,3,15,10,5,13,10,9,11,12,7,9,12,7,3,10,1,1,2,5,15,4,11,

%U 13,12,11,7,10,13,5,10,1,3,12,15,1,12,15,11,10,9,9,2,13,7,4,3,5,12,3,15,10,5

%N Bell numbers (A000110) read mod 16.

%H G. C. Greubel, <a href="/A146106/b146106.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+48) = a(n). - _G. C. Greubel_, Feb 01 2016

%t Mod[BellB[Range[0, 100]], 16] (* _G. C. Greubel_, Feb 01 2016 *)

%o (Magma) [Bell(n) mod 16: n in [0..100]]; // _Vincenzo Librandi_, Feb 02 2016

%Y Cf. A000110, A146103, A146104, A146105, A146107, A146108, A146108, A146109.

%K nonn

%O 0,3

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

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