A193745 Smallest k such that k*n! +1 is an n-th power.

1, 4, 57, 26, 216145205, 1232644, 16412938630073477961847, 1678453230184, 5043695769339201738285763848771292, 38634088549546746345278764872265967473783

Offset

1,2

Links

Table of n, a(n) for n=1..10.

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

Adjacent sequences: A193742 A193743 A193744 * A193746 A193747 A193748

Keyword

nonn

Author

Michel Lagneau, Aug 03 2011

Status

approved