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 A162391 Numbers n such that n^2 is an anagram of a Fibonacci number. 2
 1, 12, 21, 192, 294, 2536, 2639, 3903, 4864, 5342, 6242, 7302, 7934, 8023, 9194, 9711, 12166, 20719, 22696, 25964, 51837, 52453, 60985, 69186, 69837, 69984, 76647, 76992, 82887, 83814, 84601, 85257, 87324, 87603, 87778, 89208, 98855, 98918 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS An anagram of a k-digit number is one of the k! permutations of the digits that does not begin with 0. LINKS Chai Wah Wu, Table of n, a(n) for n = 1..417 EXAMPLE 12^2 = 144 and 144 is F(12). 192^2 = 36864 and 36864 is an anagram of F(24) = 46368. 2536^2 = 6431296 and 6431296 is an anagram of F(31) = 1346269. MATHEMATICA Table[Sqrt[#]&/@Select[FromDigits/@Permutations[IntegerDigits[ Fibonacci[ n]]], IntegerLength[#] == IntegerLength[Fibonacci[n]]&&IntegerQ[ Sqrt[ #]]&], {n, 50}]//Flatten//Union (* Harvey P. Dale, Sep 15 2019 *) CROSSREFS Cf. A000045, A151820. Sequence in context: A260275 A001292 A292523 * A114015 A065439 A214218 Adjacent sequences:  A162388 A162389 A162390 * A162392 A162393 A162394 KEYWORD nonn,base AUTHOR Claudio Meller, Jul 02 2009 EXTENSIONS a(17)-a(38) from Donovan Johnson, Oct 11 2009 STATUS approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)