Search: id:A003893
Results 1-1 of 1 results found.

%I A003893
%S A003893 0,1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,1,7,8,5,3,8,1,9,0,9,9,8,7,
%T A003893 5,2,7,9,6,5,1,6,7,3,0,3,3,6,9,5,4,9,3,2,5,7,2,9,1,0,1,1,2,3,5,8,3,1,4,
%U A003893 5,9,4,3,7,0,7,7,4,1,5,6,1,7,8,5,3,8,1,9,0,9,9,8,7,5,2,7,9,6,5,1,6,7,3
%N A003893 Fibonacci(n) mod 10.
%C A003893 All blocks of 60 successive terms contain 20 even and 40 odd numbers. 
               - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 09 2005
%C A003893 a(n) = A105471(n) - A105472(n)*10 = A105471(n)/10. - Reinhard Zumkeller 
               (reinhard.zumkeller(AT)gmail.com), Apr 09 2005
%D A003893 G. Marsaglia, The mathematics of random number generators, pp. 73-90 
               of S. A. Burr, ed., The Unreasonable Effectiveness of Number Theory, 
               Proc. Sympos. Appl. Math., 46 (1992). Amer. Math. Soc.
%D A003893 Gregory P. Dresden, "Three transcendental numbers from the last non-zero 
               digits of n^n, F_n and n!", 'Mathematics Magazine', pp. 96-105, vol. 
               81, 2008.
%H A003893 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               fibmaths.html">Mathematics of the Fibonacci Series</a>
%H A003893 <a href="Sindx_Fi.html#final">Index entries for sequences related to 
               final digits of numbers</a>
%F A003893 Periodic with period 60.
%F A003893 a(n) = (a(n-1) + a(n-2)) mod 10 for n>1, a(0) = 0, a(1) = 1. - Reinhard 
               Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 09 2005
%p A003893 with(combinat,fibonacci); A003893 := proc(n) fibonacci(n) mod 10; end;
%t A003893 Table[f=Fibonacci[n];Mod[f,10],{n,0,30}] (Vladimir Orlovsky, Jul 21 2008)
%Y A003893 Cf. A000045, A089911.
%Y A003893 Sequence in context: A111301 A096320 A105955 this_sequence A152303 A064737 
               A098906
%Y A003893 Adjacent sequences: A003890 A003891 A003892 this_sequence A003894 A003895 
               A003896
%K A003893 nonn
%O A003893 0,4
%A A003893 N. J. A. Sloane (njas(AT)research.att.com), ELIPPER(AT)UOFT02.UTOLEDO.EDU
%E A003893 More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 15 
               2003

Search completed in 0.002 seconds