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A071286 Denominators of Peirce sequence of order 5.

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%I A071286 #7 Oct 30 2022 18:19:59
%S A071286 2,4,5,3,1,5,4,3,5,4,2,5,3,4,5,2,4,5,3,1,5,4,3,5,4,2,5,3,4,5,2,4,5,3,
%T A071286 1,5,4,3,5,4,2,5,3,4,5,2,4,5,3,1,5,4,3,5,4,2,5,3,4,5,2,4,5,3,1,5,4,3,
%U A071286 5,4,2,5,3,4,5,2,4,5,3,1
%N A071286 Denominators of Peirce sequence of order 5.
%D A071286 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.
%F A071286 Conjectures from _Colin Barker_, Mar 29 2017: (Start)
%F A071286 G.f.: (5*x^14 + 4*x^13 + 3*x^12 + 5*x^11 + 2*x^10 + 4*x^9 + 5*x^8 + 3*x^7 + 4*x^6 + 5*x^5 + x^4 + 3*x^3 + 5*x^2 + 4*x + 2)/(1 - x^15).
%F A071286 a(n) = a(n-15) for n>14.
%F A071286 (End)
%e A071286 The Peirce sequences of orders 1, 2, 3, 4, 5 begin:
%e A071286 0/1 1/1 2/1 3/1 4/1 5/1 6/1 7/1 ...
%e A071286 0/2 0/1 1/2 2/2 1/1 3/2 4/2 2/1 ... (numerators are A009947)
%e A071286 0/2 0/3 0/1 1/3 1/2 2/3 2/2 3/3 ...
%e A071286 0/2 0/4 0/3 0/1 1/4 1/3 2/4 1/2 ...
%e A071286 0/2 0/4 0/5 0/3 0/1 1/5 1/4 1/3 ...
%Y A071286 Cf. A071281-A071288.
%K A071286 nonn,frac,easy
%O A071286 0,1
%A A071286 _N. J. A. Sloane_, Jun 11 2002
%E A071286 More terms from _Reiner Martin_, Oct 15 2002