|
Search: id:A110463
|
|
|
| A110463 |
|
Integers with mutual residues -9. |
|
+0
1
|
|
| 10, 19, 181, 34381, 1182362581, 1397981283590244781, 1954351669268628414383088499809940981, 3819490447173074341052986454970501004004783894423555148483555928992711181
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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: A015445 A123001 A073222 this_sequence A121725 A110368 A006050
Adjacent sequences: A110460 A110461 A110462 this_sequence A110464 A110465 A110466
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 11 2005
|
|
|
Search completed in 0.002 seconds
|
