login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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: A364189 A099983 A275631 * A233930 A292447 A176690
KEYWORD
nonn
AUTHOR
Jeffrey Shallit, Jul 04 2000
EXTENSIONS
a(20)-a(27) from Robert Gerbicz, Nov 19 2010
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)