|
Search: id:A001544
|
|
|
| A001544 |
|
A nonlinear recurrence.
(Formerly M4346 N1820)
|
|
+0
2
|
|
| 1, 7, 13, 97, 8833, 77968897, 6079148431583233, 36956045653220845240164417232897, 1365749310322943329964576677590044473746108255675592519835615233
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
This is the special case k=6 of sequences with exact mutual k-residues. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=k, i=1,...,n-1}. k=1 gives Sylvester's sequence A000058 and k=2 Fermat sequence A000215. - Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 4 2005
|
|
REFERENCES
|
S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.
|
|
LINKS
|
S. Mustonen, On integer sequences with mutual k-residues
|
|
FORMULA
|
a(0)=1, a(1)=7, a(n)=a(n-1)^2-6*a(n-1)+6 if n>1.
|
|
PROGRAM
|
(PARI) a(n)=if(n<1, n==0, if(n==1, 7, n=a(n-1); n^2-6*n+6))
|
|
CROSSREFS
|
Sequence in context: A132373 A110293 A039687 this_sequence A136720 A035030 A046519
Adjacent sequences: A001541 A001542 A001543 this_sequence A001545 A001546 A001547
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
