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%I #8 Oct 30 2022 18:19:59
%S 2,4,6,5,3,1,6,5,4,6,3,5,4,6,2,5,6,3,4,5,6,2,4,6,5,3,1,6,5,4,6,3,5,4,
%T 6,2,5,6,3,4,5,6,2,4,6,5,3,1,6,5,4,6,3,5,4,6,2,5,6,3,4,5,6,2,4,6,5,3,
%U 1,6,5,4,6,3,5,4,6,2,5,6
%N Denominators of Peirce sequence of order 6.
%D R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.
%F Conjectures from _Colin Barker_, Mar 29 2017: (Start)
%F G.f.: (6*x^20 + 5*x^19 + 4*x^18 + 3*x^17 + 6*x^16 + 5*x^15 + 2*x^14 + 6*x^13 + 4*x^12 + 5*x^11 + 3*x^10 + 6*x^9 + 4*x^8 + 5*x^7 + 6*x^6 + x^5 + 3*x^4 + 5*x^3 + 6*x^2 + 4*x + 2)/(1 - x^21).
%F a(n) = a(n-21) for n>20.
%F (End)
%e The Peirce sequences of orders 1, 2, 3, 4, 5 begin:
%e 0/1 1/1 2/1 3/1 4/1 5/1 6/1 7/1 ...
%e 0/2 0/1 1/2 2/2 1/1 3/2 4/2 2/1 ... (numerators are A009947)
%e 0/2 0/3 0/1 1/3 1/2 2/3 2/2 3/3 ...
%e 0/2 0/4 0/3 0/1 1/4 1/3 2/4 1/2 ...
%e 0/2 0/4 0/5 0/3 0/1 1/5 1/4 1/3 ...
%Y Cf. A071281-A071287.
%K nonn,frac,easy
%O 0,1
%A _N. J. A. Sloane_, Jun 11 2002
%E More terms from _Reiner Martin_, Oct 15 2002
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