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A071288 Denominators of Peirce sequence of order 6. 7
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 (list; graph; refs; listen; history; text; internal format)
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 A254763 A023825

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 (reinermartin(AT)hotmail.com), Oct 15 2002

STATUS

approved

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Last modified May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)