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A071282 Denominators of Peirce sequence of order 3.

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%I A071282 #7 Oct 30 2022 18:19:59
%S A071282 2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,
%T A071282 2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,1,3,2,3,2,3,
%U A071282 1,3,2,3,2,3,1,3,2,3,2,3
%N A071282 Denominators of Peirce sequence of order 3.
%D A071282 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.
%F A071282 Conjectures from _Colin Barker_, Mar 29 2017: (Start)
%F A071282 G.f.: (3*x^5 + 2*x^4 + 3*x^3 + x^2 + 3*x + 2)/(1 - x^6).
%F A071282 a(n) = a(n-6) for n>5.
%F A071282 (End)
%e A071282 The Peirce sequences of orders 1, 2, 3, 4, 5 begin:
%e A071282 0/1 1/1 2/1 3/1 4/1 5/1 6/1 7/1 ...
%e A071282 0/2 0/1 1/2 2/2 1/1 3/2 4/2 2/1 ... (numerators are A009947)
%e A071282 0/2 0/3 0/1 1/3 1/2 2/3 2/2 3/3 ...
%e A071282 0/2 0/4 0/3 0/1 1/4 1/3 2/4 1/2 ...
%e A071282 0/2 0/4 0/5 0/3 0/1 1/5 1/4 1/3 ...
%Y A071282 Cf. A071281-A071288.
%K A071282 nonn,frac,easy
%O A071282 0,1
%A A071282 _N. J. A. Sloane_, Jun 11 2002
%E A071282 More terms from _Reiner Martin_, Oct 15 2002