The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A216045 Numbers k such that Sum_{j=1..k-1} (4j)!/5^j is an integer. 5
1, 6, 30, 145, 151, 592, 732, 3895, 87806, 292432 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Next term is > 1500000.
LINKS
MATHEMATICA
seq={}; sum=0; fak=1; k=0; While[k<10000, sum+=fak; If[Denominator[sum]==1, AppendTo[seq, k+1]]; k++; fak*=4*k*(4*k-1)*(4*k-2)*(4*k-3)/5; ]; seq
CROSSREFS
Sequence in context: A135160 A276022 A046945 * A307494 A316593 A089817
KEYWORD
nonn,more
AUTHOR
Vaclav Kotesovec, Aug 30 2012
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 June 5 14:50 EDT 2024. Contains 373107 sequences. (Running on oeis4.)