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Denominators of Peirce sequence of order 4.
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%I #7 Oct 30 2022 18:19:59

%S 2,4,3,1,4,3,4,2,3,4,2,4,3,1,4,3,4,2,3,4,2,4,3,1,4,3,4,2,3,4,2,4,3,1,

%T 4,3,4,2,3,4,2,4,3,1,4,3,4,2,3,4,2,4,3,1,4,3,4,2,3,4,2,4,3,1,4,3,4,2,

%U 3,4,2,4,3,1,4,3,4,2,3,4

%N Denominators of Peirce sequence of order 4.

%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.: (4*x^9 + 3*x^8 + 2*x^7 + 4*x^6 + 3*x^5 + 4*x^4 + x^3 + 3*x^2 + 4*x + 2)/(1 - x^10).

%F a(n) = a(n-10) for n>9.

%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-A071288.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_, Jun 11 2002

%E More terms from _Reiner Martin_, Oct 15 2002