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A048860 Smallest denominator d such that the Sylvester expansion of n/d has n terms. 2
1, 3, 7, 17, 31, 109, 253, 97, 271, 1621, 199, 3961, 1769, 12013, 16381, 3169, 24991, 15877, 180881, 265201, 2620801, 26753, 781219, 14473441, 693551, 55689349, 18294823 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

H. T. Freitag and G. M. Phillips, Sylvester's algorithm and Fibonacci numbers, in Applications of Fibonacci numbers, Vol. 8 (Rochester, NY, 1998), 155-163, Kluwer Acad. Publ., Dordrecht, 1999.

LINKS

Table of n, a(n) for n=1..27.

EXAMPLE

a(3) = 7 since 3/7 = 1/3 + 1/11 + 1/231

PROG

(PARI) a(n)=if(n==1, q=1, q=n+1; while(1, c=1; P=n; Q=q; while(Q%P>0, c++; D=Q\P+1; P=P*D-Q; Q*=D); if(c==n, break); q+=n)); return(q)

CROSSREFS

Sequence in context: A045425 A099983 A275631 * A233930 A292447 A176690

Adjacent sequences:  A048857 A048858 A048859 * A048861 A048862 A048863

KEYWORD

nonn

AUTHOR

Jeffrey Shallit, Jul 04 2000

EXTENSIONS

a(20)-a(27) from Robert Gerbicz, Nov 19 2010

STATUS

approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)