|
Search: id:A110368
|
|
|
| A110368 |
|
Integers with mutual residues of 9. |
|
+0
1
|
|
| 10, 19, 199, 37819, 1156948199, 1654362331095061619, 2736914722546286269314723509551346599, 7490702198490615150126275937342974843521061335534838392096463268266747419
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
This is the special case k=9 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.
|
|
REFERENCES
|
S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.
|
|
LINKS
|
A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fib. Quart., 11 (1973), 429-437.
Stanislav Drastich, Rapid growth sequences (PDF).
Stanislav Drastich, Review of the author.
S. Mustonen, On integer sequences with mutual k-residues
Index entries for sequences of form a(n+1)=a(n)^2 + ....
|
|
CROSSREFS
|
Sequence in context: A073222 A110463 A121725 this_sequence A006050 A045646 A023916
Adjacent sequences: A110365 A110366 A110367 this_sequence A110369 A110370 A110371
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 4 2005
|
|
|
Search completed in 0.002 seconds
|
