

A199632


Numbers having each digit once and whose 5th power has each digit five times.


5




OFFSET

1,1


COMMENTS

There are 8 numbers total. Note that this is similar to A114261.


LINKS

Table of n, a(n) for n=1..8.
Patrick De Geest, The nine digits (page 4) with some ten digit (pandigital) exceptions
unknown, All terms


EXAMPLE

7351062489 ^5 = 21465972705539303240727164839587886180361092651449.


MATHEMATICA

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^5]] == {5} &]; FromDigits /@ t2


CROSSREFS

Cf. A050278 (pandigital numbers), A199630, A199631, A114260, A199633.
Sequence in context: A198784 A104944 A257899 * A104851 A226950 A225141
Adjacent sequences: A199629 A199630 A199631 * A199633 A199634 A199635


KEYWORD

nonn,base,fini,full


AUTHOR

T. D. Noe, Nov 09 2011


STATUS

approved



