A071286 Denominators of Peirce sequence of order 5.

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, 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, 5, 4, 2, 5, 3, 4, 5, 2, 4, 5, 3, 1

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.: (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).

a(n) = a(n-15) for n>14.

(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: A355944 A197587 A231729 * A021807 A284561 A061728

Adjacent sequences: A071283 A071284 A071285 * A071287 A071288 A071289

Keyword

nonn,frac,easy

Author

N. J. A. Sloane, Jun 11 2002

Extensions

More terms from Reiner Martin, Oct 15 2002

Status

approved