|
| |
|
|
A110463
|
|
Integers with mutual residues -9.
|
|
0
| |
|
|
10, 19, 181, 34381, 1182362581, 1397981283590244781, 1954351669268628414383088499809940981, 3819490447173074341052986454970501004004783894423555148483555928992711181
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| This is the special case k=9 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
| S. Mustonen, On integer sequences with mutual k-residues
|
|
|
FORMULA
| a(1)=10, a(2)=19, a(n)=a(1)*a(2)*...*a(n-1) - 9.
a(n)=a(n)^2+9*a(n)-9, n>3
|
|
|
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(9, n), n=1..8);
|
|
|
CROSSREFS
| Sequence in context: A177203 A177167 A073222 * A121725 A110368 A006050
Adjacent sequences: A110460 A110461 A110462 * A110464 A110465 A110466
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 11 2005
|
| |
|
|
