A071282 Denominators of Peirce sequence of order 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, 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, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3

Offset

0,1

References

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.

Links

Table of n, a(n) for n=0..79.

Formula

Conjectures from Colin Barker, Mar 29 2017: (Start)

G.f.: (3*x^5 + 2*x^4 + 3*x^3 + x^2 + 3*x + 2)/(1 - x^6).

a(n) = a(n-6) for n>5.

(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

Cf. A071281-A071288.

Sequence in context: A063047 A003270 A099054 * A107796 A194308 A257070

Adjacent sequences: A071279 A071280 A071281 * A071283 A071284 A071285

Keyword

nonn,frac,easy

Author

N. J. A. Sloane, Jun 11 2002

Extensions

More terms from Reiner Martin, Oct 15 2002

Status

approved