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Bell numbers (A000110) read mod 32.
5

%I #15 Sep 08 2022 08:45:38

%S 1,1,2,5,15,20,11,13,12,27,7,10,29,21,26,17,3,12,15,1,12,15,27,26,9,

%T 25,18,13,7,4,3,5,12,19,31,10,5,13,10,25,27,28,7,25,12,7,19,26,17,17,

%U 2,21,31,20,27,29,12,11,23,10,13,5,26,1,19,12,31,17,12,31,11,26,25,9,18,29,23

%N Bell numbers (A000110) read mod 32.

%H G. C. Greubel, <a href="/A146122/b146122.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.

%H <a href="/index/Rec#order_96">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = a(n-96).

%t Mod[BellB[Range[0, 100]], 32] (* _G. C. Greubel_, Feb 02 2016 *)

%o (Magma) [Bell(n) mod 32: n in [0..100]]; // _G. C. Greubel_, Feb 02 2016

%Y Cf. A000110, A146116, A146117, A146118, A146119, A146120, A146121.

%K nonn,easy

%O 0,3

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