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A199632 Numbers having each digit once and whose 5th power has each digit five times. 5
7351062489, 8105632794, 8401253976, 8731945026, 9164072385, 9238750614, 9615278340, 9847103256 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 19 08:57 EDT 2017. Contains 290794 sequences.