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 A216223 Distance from Fibonacci(n) to the next perfect square. 2
 0, 0, 0, 2, 1, 4, 1, 3, 4, 2, 9, 11, 0, 23, 23, 15, 37, 3, 17, 44, 124, 79, 245, 243, 288, 51, 408, 718, 285, 1295, 1529, 1652, 267, 2306, 4434, 1979, 144, 9239, 11840, 4223, 19534, 5283, 29865, 19604, 46492, 45551, 67706, 16008, 92593, 145155, 102696, 276775 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Difference between y^2 and fib(n), y being next integer square root of fib(n). a(n)=0 only for n = 0, 1, 2, 12. a(n) is a square for n = 0, 1, 2, 4, 5, 6, 8, 10, 12, 36. LINKS FORMULA a(n)=floor(sqrt(fib(n))+1)^2-fib(n) if n<>1, 2, 12; else a(n)=0 EXAMPLE a(5)=4 since fib(5)=5 that differs 4 to next square that is 9. MATHEMATICA Table[k = Ceiling[Sqrt[Fibonacci[n]]]; k^2 - Fibonacci[n], {n, 0, 60}] (* T. D. Noe, Mar 13 2013 *) CROSSREFS Cf. A190993. Sequence in context: A317837 A296074 A239451 * A078072 A306944 A049776 Adjacent sequences:  A216220 A216221 A216222 * A216224 A216225 A216226 KEYWORD nonn AUTHOR Carmine Suriano, Mar 13 2013 STATUS approved

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Last modified May 25 01:35 EDT 2019. Contains 323534 sequences. (Running on oeis4.)