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A071284
Denominators of Peirce sequence of order 4.
0
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, 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, 3, 4, 2, 4, 3, 1, 4, 3, 4, 2, 3, 4
OFFSET
0,1
REFERENCES
R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.
FORMULA
Conjectures from Colin Barker, Mar 29 2017: (Start)
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).
a(n) = a(n-10) for n>9.
(End)
EXAMPLE
The Peirce sequences of orders 1, 2, 3, 4, 5 begin:
0/1 1/1 2/1 3/1 4/1 5/1 6/1 7/1 ...
0/2 0/1 1/2 2/2 1/1 3/2 4/2 2/1 ... (numerators are A009947)
0/2 0/3 0/1 1/3 1/2 2/3 2/2 3/3 ...
0/2 0/4 0/3 0/1 1/4 1/3 2/4 1/2 ...
0/2 0/4 0/5 0/3 0/1 1/5 1/4 1/3 ...
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
N. J. A. Sloane, Jun 11 2002
EXTENSIONS
More terms from Reiner Martin, Oct 15 2002
STATUS
approved