A071288 Denominators of Peirce sequence of order 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, 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, 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

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.: (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).

a(n) = a(n-21) for n>20.

(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-A071287.

Sequence in context: A127275 A242796 A298527 * A063892 A353650 A254763

Adjacent sequences: A071285 A071286 A071287 * A071289 A071290 A071291

Keyword

nonn,frac,easy

Author

N. J. A. Sloane, Jun 11 2002

Extensions

More terms from Reiner Martin, Oct 15 2002

Status

approved