login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A242740 Numbers n dividing every cyclic permutation of n^4. 1
1, 3, 9, 21, 27, 73, 99, 111, 271, 693, 707, 777, 819, 909, 999, 2151, 2629, 3441, 3813, 4551, 6987, 7227, 7373, 9999, 18981, 19019, 20007, 20979, 23199, 24453, 25641, 27027, 27417, 30303, 81819, 82113, 83883, 99999, 125523, 172013, 194841, 201917, 238139 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Property of the sequence :
Consider the sequence A178028 (Numbers n dividing every cyclic permutation of n^2), so
a(1) = A178028 (1) = 1;
a(5) = A178028 (5) = 27;
a(7) = A178028 (7) = 99;
a(9) = A178028 (9) = 271;
a(10) = A178028 (15) = 693;
a(13) = A178028 (17) = 819;
a(15) = A178028 (18) = 999;
a(16) = A178028 (19) = 2151;
a(22) = A178028 (22) = 7227;
...........................
LINKS
EXAMPLE
21 is a member as all the six cyclic permutations of 21^4 = 194481 are :
{194481, 944811, 448119, 481194, 811944, 119448} and :
194481 = 21*9261;
944811 = 21*44991;
448119 = 21*21339;
811944 = 21*38664;
119448 = 21*5688.
MATHEMATICA
Select[Range[300000], And@@Divisible[FromDigits/@Table[ RotateRight[ IntegerDigits[ #^4], n], {n, IntegerLength[#^4]}], #]&]
CROSSREFS
Sequence in context: A014945 A045590 A369768 * A029536 A331131 A089322
KEYWORD
nonn,base
AUTHOR
Michel Lagneau, May 21 2014
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)