Search: id:A057363
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%I A057363
%S A057363 0,0,1,1,2,3,3,4,4,5,6,6,7,8,8,9,9,10,11,11,12,12,13,14,14,15,16,16,17,
%T A057363 17,18,19,19,20,20,21,22,22,23,24,24,25,25,26,27,27,28,28,29,30,30,31,
%U A057363 32,32,33,33,34,35,35,36,36,37,38,38,39,40,40,41,41,42,43,43,44,44
%N A057363 Floor(8n/13).
%C A057363 The cyclic pattern (and numerator of the gf) is computed using Euclid's 
               algorithm for GCD.
%D A057363 N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge 
               University Press, 1997.
%D A057363 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, 
               NY, 1994.
%H A057363 N. Dershowitz and E. M. Reingold, <a href="http://emr.cs.iit.edu/home/
               reingold/calendar-book/first-edition/">Calendrical Calculations Web 
               Site</a>
%F A057363 G.f.: x^2(1 + x^2 + x^4 + x^5 + x^7 + x^9 + x^10 + x^12)/((1 - x)(1 - 
               x^13)).
%Y A057363 Floors of other ratios: A004526, A002264, A002265, A004523, A057353, 
               A057354, A057355, A057356, A057357, A057358, A057359, A057360, A057361, 
               A057362, A057363, A057364, A057365, A057366, A057367.
%Y A057363 Note that 20 appears twice. Different from A005206, A060143.
%Y A057363 Sequence in context: A055930 A079952 A090638 this_sequence A073869 A060143 
               A005206
%Y A057363 Adjacent sequences: A057360 A057361 A057362 this_sequence A057364 A057365 
               A057366
%K A057363 nonn,easy
%O A057363 0,5
%A A057363 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)

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