|
| |
|
|
A067581
|
|
a(1) = 1, a(n) = smallest integer not yet in the sequence with no digits in common with a(n-1).
|
|
9
|
|
|
|
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 22, 11, 20, 13, 24, 15, 23, 14, 25, 16, 27, 18, 26, 17, 28, 19, 30, 12, 33, 21, 34, 29, 31, 40, 32, 41, 35, 42, 36, 44, 37, 45, 38, 46, 39, 47, 50, 43, 51, 48, 52, 49, 53, 60, 54, 61, 55, 62, 57, 63, 58, 64, 59, 66, 70, 56, 71, 65, 72, 68, 73, 69
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
David W. Wilson has shown that the sequence contains every positive integer except those containing all the digits 1 through 9 (which obviously have no possible predecessor). Jun 04, 2002
a(A137857(n)) = A137857(n). - Reinhard Zumkeller, Feb 15 2008
|
|
|
LINKS
|
R. Zumkeller, Table of n, a(n) for n = 1..10000
|
|
|
EXAMPLE
|
a(14) = 13, since a(13) = 20 and all integers smaller than 13 have a digit in common with 20 or have already appeared in the sequence.
|
|
|
MATHEMATICA
|
f[s_List] := Block[{k = 1, id = IntegerDigits@ s[[ -1]]}, While[ MemberQ[s, k] || Intersection[id, IntegerDigits@k] != {}, k++ ]; Append[s, k]]; Nest[f, {1}, 71] [From Robert G. Wilson v, Apr 03 2009]
|
|
|
PROG
|
(Haskell)
import Data.List (delete, intersect); import Data.Function (on)
a067581 n = a067581_list !! (n-1)
a067581_list = 1 : f 1 [2..] where
f u vs = v : f v (delete v vs)
where v : _ = filter (null . (intersect `on` show) u) vs
-- Reinhard Zumkeller, Jul 01 2013
|
|
|
CROSSREFS
|
Cf. A136332.
Cf. A184992.
Cf. A239664.
Sequence in context: A138142 A085890 A134817 * A099469 A039112 A160015
Adjacent sequences: A067578 A067579 A067580 * A067582 A067583 A067584
|
|
|
KEYWORD
|
easy,nonn,base,nice,look
|
|
|
AUTHOR
|
Ulrich Schimke (ulrschimke(AT)aol.com)
|
|
|
STATUS
|
approved
|
| |
|
|
