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!)
A110407 Integers with mutual residues -2. 2
3, 5, 13, 193, 37633, 1416317953, 2005956546822746113, 4023861667741036022825635656102100993, 16191462721115671781777559070120513664958590125499158514329308740975788033 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This is the special case k=2 of sequences with mutual residues -k. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=-k, i=1,...,n-1}.
An infinite coprime sequence
LINKS
FORMULA
a(1)=3, a(2)=5, a(n)=-2+a(1)*a(2)*...*a(n-1) [typo corrected by Vincenzo Librandi, Feb 08 2010]
a(n)=a(n-1)^2+2*a(n-1)-2, for n>3.
Apparently a(n)=A003010(n-2)-1 for n>=3. - R. J. Mathar, Apr 22 2007
MAPLE
a:=proc(k, n::nonnegint) option remember; if n<3 then RETURN(n*k+1); fi; if n=3 then RETURN(a(k, 1)*a(k, 2)-k); fi; a(k, n-1)*(a(k, n-1)+k)-k; end; seq(a(2, n), n=1..9);
MATHEMATICA
Join[{3, 5}, NestList[#^2+2#-2&, 13, 6]] (* Harvey P. Dale, Mar 05 2019 *)
CROSSREFS
Sequence in context: A187733 A087170 A123370 * A340037 A062698 A200769
KEYWORD
nonn
AUTHOR
Seppo Mustonen, Sep 11 2005
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 April 22 01:34 EDT 2024. Contains 371887 sequences. (Running on oeis4.)