A175694 a(n) is the smallest number such that a(n)*n is an anagram of a(n)*5.

142857, 5436, 36, 2826, 1, 9, 279, 252, 2439, 214857, 552, 3348, 27, 37, 207, 3573, 3, 3384, 27, 3564, 2439, 25371, 37, 2538, 34857, 2085, 2115, 31968, 21207, 2772, 2295, 2516, 24975, 237681, 2718, 212535, 21663, 21645, 2439, 227934, 2199, 219465, 2049768, 20478, 2178, 2002185, 208596, 2043792, 2031939

Offset

1,1

Comments

a(n) does not exist for n >= 50 because a(n)*n >= 10*(a(n)*5) has more digits than a(n)*5. - Robert Israel, Nov 03 2014

Links

Table of n, a(n) for n=1..49.

Example

a(6)=9 because 6*9 = 54, 5*9 = 45 and 54 is an anagram of 45.

Maple

f:= proc(n)
local d, k, a5;
for d from 0 to 10 do
  for k from ceil(10^d/5) to floor(10^(d+1)/n) do
     a5:= sort(convert(k*5, base, 10));
    if sort(convert(k*n, base, 10)) = a5 then return k fi
  od
od
end proc:
seq(f(n), n=1..49); # Robert Israel, Nov 03 2014

Mathematica

f[n_] := Block[ {k = 1}, While[ Sort@ IntegerDigits[5 k] != Sort@ IntegerDigits[k*n], k++ ]; k]; Array[f, 45] (* Robert G. Wilson v, Aug 15 2010 *)

Crossrefs

Sequence in context: A256630 A263037 A086999 * A023089 A166320 A101202

Adjacent sequences: A175691 A175692 A175693 * A175695 A175696 A175697

Keyword

base,nonn,fini,full

Author

Claudio Meller, Aug 09 2010

Extensions

More terms from Robert G. Wilson v, Aug 15 2010

a(43) to a(49) from Robert Israel, Nov 03 2014

Status

approved