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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS 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 A156873 A071540 Adjacent sequences:  A193742 A193743 A193744 * A193746 A193747 A193748 KEYWORD nonn AUTHOR Michel Lagneau, Aug 03 2011 STATUS approved

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