A091080 - OEIS

%I #5 Oct 10 2014 08:18:54

%S 980,1225,6020,7525,36260,45325,217700,272125,1271060,1306340,1588825,

%T 1632925,7621460,7838180,9526825,9797725,45723860,46817540,47029220,

%U 57154825,58521925,58786525

%N 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.

%C 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.

%H C. Seggelin, <a href="http://www.plastereddragon.com/maths/asortdiv.htm">Numbers Divisible by Digit Permutations</a>. [Broken link]

%e 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.

%o (PARI) /* See A091077 and use PARI script with b=6 */

%Y Cf. A091077 (same in base 3), A091078 (base 4), A091079 (base 5), A091081 (base 7), A091082 (base 8), A091083 (base 9), A031877 (base 10).

%K base,nonn

%O 1,1

%A Chuck Seggelin (barkeep(AT)plastereddragon.com), Dec 18 2003

%E More terms from _Michel Marcus_, Oct 10 2014