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 A302096 a(n) is the smallest pandigital number divisible by n, or 0 if no such pandigital number exists. 0

%I

%S 1023456789,1023456798,1023456789,1023457896,1023467895,1023456798,

%T 1023456798,1023457896,1023456789,1234567890,1024375869,1023457896,

%U 1023456798,1023456798,1023467895,1023457968,1023457698,1023456798,1023458769,1234567980,1023456798,1024375968

%N a(n) is the smallest pandigital number divisible by n, or 0 if no such pandigital number exists.

%C Note: in this sequence, "pandigital" numbers are defined as in A050278 (i.e., with each of the ten digits 0..9 appearing exactly once).

%C The first 99 terms coincide with those of A061604. - _Giovanni Resta_, May 15 2018

%C From _Jon E. Schoenfield_, May 19 2018: (Start)

%C Record high values exceeding 2*10^9 begin a(10001) = 2650134987, a(20002) = 2750134986, a(27775) = 3012948675, a(40004) = 3760215984, a(44440) = 4123987560, a(50005) = 6820431975, ...

%C a(n)=0 for every n divisible by 100. Other than multiples of 100, the smallest values of n for which a(n)=0 are 37037 and 55550. The last nonzero term is a(9876543210) = 9876543210. (End)

%H http://misacertijos.blogspot.com.ar/2010/11/2004-pandigital-y-primo.html?m=1

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_259.htm">Puzzle 259</a>

%e a(11) = 1024375869 = 11 * 93125079 because it is the smallest pandigital number that is divisible by 11;

%e a(100) = 0 because there is no pandigital number that is divisible by 100.

%t s = Select[FromDigits /@ Permutations[Range[0, 9]], # > 10^9 &]; Table[ SelectFirst[ s, Mod[#, n] == 0 &, 0], {n, 22}] (* _Giovanni Resta_, May 15 2018 *)

%Y Cf. A050278, A061604, A171102.

%K nonn,base

%O 1,1

%A _Rodolfo Kurchan_, May 06 2018

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Last modified February 20 22:38 EST 2020. Contains 332086 sequences. (Running on oeis4.)