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A193745
Smallest k such that k*n! +1 is an n-th power.
0
1, 4, 57, 26, 216145205, 1232644, 16412938630073477961847, 1678453230184, 5043695769339201738285763848771292, 38634088549546746345278764872265967473783
OFFSET
1,2
EXAMPLE
a(3) = 57 because 57*3!+1 = 343 = 7^3.
MATHEMATICA
a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/n!], k++ ]; AppendTo[a, (k^n-1)/n!], {n, 1, 10}]; a
CROSSREFS
Sequence in context: A071579 A060497 A092273 * A181437 A353001 A156873
KEYWORD
nonn
AUTHOR
Michel Lagneau, Aug 03 2011
STATUS
approved