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 A144854 Values of n such that the expression sqrt(4!*(n+1) + 1) yields a perfect power. 0
 25, 99, 609, 650, 1189, 3479, 4901, 5429, 11659, 16275, 29469, 38479, 62525, 73814, 78089, 117739, 142449, 201116, 203319, 240199, 328769, 381275, 406900, 504889, 576909, 743775, 839629, 1005731, 1058819, 1183259, 1464709, 1622919, 1960244 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 25 is in the sequence since sqrt(4!*(25+1) + 1) = 25 = 5^2; 99 is in the sequence since sqrt(4!*(99+1) + 1) = 49 = 7^2. - Jon E. Schoenfield, Aug 01 2015 MATHEMATICA lst = {}; Do[a = Sqrt[4! (n + 1) + 1]; If[IntegerQ@ a && GCD @@ Last /@ FactorInteger@a > 1, AppendTo[lst, n]], {n, 0, 1977428}]; lst (* Robert G. Wilson v, Sep 24 2008 *) CROSSREFS Subset of A144065. Sequence in context: A099771 A266818 A158547 * A237202 A335717 A198385 Adjacent sequences:  A144851 A144852 A144853 * A144855 A144856 A144857 KEYWORD nonn AUTHOR Alexander R. Povolotsky, Sep 22 2008 EXTENSIONS More terms from Robert G. Wilson v, Sep 24 2008 STATUS approved

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Last modified January 22 10:48 EST 2021. Contains 340362 sequences. (Running on oeis4.)