|
Search: id:A134514
|
|
|
| A134514 |
|
List of pairs (n,m) with n<m such that the decimal expansion of m is a cyclic shift of that of n and m^2 is a cyclic shift of n^2. |
|
+0
3
|
|
| 12, 21, 122, 221, 1222, 2221, 4615, 5461, 12222, 22221, 122222, 222221, 402046, 640204, 603069, 960306, 869041, 904186, 1222222, 2222221
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
No nore terms <10^9.
Inspired by David W. Wilson's messages in seqfan list.
|
|
EXAMPLE
|
12 and 21 are rotationally connected, and also their squares 144, 441 are obtained from each other by rotation of their decimal representations.
Also 122 and 221 are rotationally connected as well as their squares 14884 and 48841.
Notice infinite pattern (n,m)= (12...2, 2...21).
Corresponding squares:
{144,441},
{14884,48841},
{1493284,4932841},
{21298225,29822521},
{149377284,493772841},
{14938217284,49382172841},
{161640986116,409861161616},
{363692218761,922187613636},
{755232259681,817552322596},
{1493826617284,4938266172841}.
|
|
CROSSREFS
|
Cf. A134584, A134585.
Sequence in context: A043225 A111066 A044005 this_sequence A030299 A001292 A114015
Adjacent sequences: A134511 A134512 A134513 this_sequence A134515 A134516 A134517
|
|
KEYWORD
|
base,more,nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Jan 12 2008
|
|
|
Search completed in 0.002 seconds
|
