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 A254714 Numbers k such that the area of a circle of radius k is closer to an integer than the area of any circle whose radius is a smaller positive integer k. 2
 1, 6, 7, 8, 28, 85, 113, 198, 267, 659, 1014, 10224, 13451, 537766, 925036, 1693817, 1803181, 2053555, 11518526, 41877989, 66797547, 90328940, 105345415, 343594795, 654075889, 934979323, 1061368874 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Inspired by A067561. LINKS Table of n, a(n) for n=1..27. EXAMPLE k c=Pi*k^2 round(c) c-round(c) e=abs(c-round(c)) 1 3.14159... 3 0.14159... 0.14159... 2 12.56637... 13 -0.43362... 0.43362... 3 28.27433... 28 0.27433... 0.27433... 4 50.26548... 50 0.26548... 0.26548... 5 78.53981... 79 -0.46018... 0.46018... 6 113.09733... 113 0.09733... 0.09733... 7 153.93804... 154 -0.06195... 0.06195... ... a(1) = 1. 2, 3, 4 and 5 are not in the sequence, because their absolute errors e are greater than that of a(1). 6 is in the sequence, because its absolute error e is less than that of a(1), therefore a(2) = 6. 7 is in the sequence, because its absolute error e is less than that of a(2), therefore a(3) = 7. ... PROG (PARI){m=1; for(n=1, 10^10, c=Pi*n^2; e=abs(c-round(c)); if(e

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)