|
|
A091080
|
|
Numbers n which when converted to base 6, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.
|
|
6
|
|
|
980, 1225, 6020, 7525, 36260, 45325, 217700, 272125, 1271060, 1306340, 1588825, 1632925, 7621460, 7838180, 9526825, 9797725, 45723860, 46817540, 47029220, 57154825, 58521925, 58786525
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Trivial cases are those numbers which upon conversion result in a number which is palindromic (m = reverse(m)), or a palindrome plus trailing zeros such that m = reverse(m)*10^z where z=number of lost zeros. Nontrivial digit loss occurs when a converted number has trailing zeros that drop off when the number is reversed.
|
|
LINKS
|
|
|
EXAMPLE
|
a(1) = 980 because: 980 in base 6 is 4312; 4312 reversed is 2134; 2134 converted back to base 10 is 490 and 980 mod 490 = 0.
|
|
PROG
|
(PARI) /* See A091077 and use PARI script with b=6 */
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Chuck Seggelin (barkeep(AT)plastereddragon.com), Dec 18 2003
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|