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A216474 Smallest k  such that k*!n +1 is an n-th power. 0
3, 13, 455, 71, 93565703, 40765959421975394881, 27507928745358015883503, 4005456298012605183835102420301535996, 64381553566633030980078485248402475462864768, 67848687916710307026239471566668726955520894650602664910832487 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

!n is a subfactorial number (A000166).

LINKS

Table of n, a(n) for n=2..11.

EXAMPLE

a(4) = 455 because 455*!4 + 1 = 455*9+1 = 4096 = 4^6.

MATHEMATICA

a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/Subfactorial[n]], k++ ]; AppendTo[a, (k^n-1)/Subfactorial[n]], {n, 2, 11}]; a

CROSSREFS

Cf. A000166.

Sequence in context: A156358 A066266 A092845 * A222762 A290376 A089711

Adjacent sequences:  A216471 A216472 A216473 * A216475 A216476 A216477

KEYWORD

nonn

AUTHOR

Michel Lagneau, Sep 10 2012

STATUS

approved

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Last modified August 7 15:30 EDT 2020. Contains 336276 sequences. (Running on oeis4.)