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 A079490 Exp(n) is closer to an integer than any previous exp(k) for 1 <= k < n. 12
 1, 3, 8, 19, 45, 75, 135, 178, 209, 732, 1351, 1907, 5469, 28414, 37373, 404055, 902497 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 178, p. 56, Ellipses, Paris 2008. LINKS Table of n, a(n) for n=1..17. EXAMPLE a(2) = 3: exp(3) = 20.08... is closer to an integer than exp(1) = 2.718... At 37373 the difference from an integer is 0.0000010493779591646530966... MATHEMATICA a = 1; Do[ d = Abs[ Round[E^n] - N[E^n, Ceiling[ Log[10, E^n] + 10]]]; If[d < a, Print[n]; a = d], {n, 1, 50000}] PROG (PARI) {default(realprecision, 1000); d(x)=abs(x-round(x))}; a(n)=local(m); if(n<2, n>0, n=a(n-1); m=d(exp(n)); until(d(exp(n))

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Last modified April 18 10:46 EDT 2024. Contains 371779 sequences. (Running on oeis4.)