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 A291211 Numbers k>1 such that k*k^(1/k) is closer to an integer than for any smaller number. 2
 2, 5, 6, 15, 16, 46, 135, 136, 385, 1072, 21976, 59813, 59814, 162682, 162683, 442329, 1202506, 3268905, 24154808, 65659807, 485164995, 1318815513, 1318815514, 26489121842, 72004899025, 195729609091, 532048240237, 1446257063899 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The corresponding closest matching integers are given in A291212. LINKS EXAMPLE Let s(x) = x*x^(1/x), r(x) = round(s(x)), d(x) = abs(s(x)-r(x)); a(1) = 2:   s(2) = 2.8284271...,   r(2) = A291212(1) = 3,   d(2) = 0.17157...; a(2) = 5:   s(5) = 6.8986483...,   r(5) = A291212(2) = 7,   d(5) = 0.10135169...; a(3) = 6:   s(6) = 8.0880369...,   r(6) = A291212(3) = 8,   d(6) = 0.08803692...; a(4) = 15:   s(15) = 17.96790087...,   r(15) = A291212(4) = 18,   d(18) = 0.03209912...; a(5) = 16:   s(16) = 19.02731384...,   r(16) = A291212(5) = 19,   d(19) = 0.02731384...; CROSSREFS Cf. A291210, A291212. Sequence in context: A076624 A205385 A287203 * A193402 A193405 A037079 Adjacent sequences:  A291208 A291209 A291210 * A291212 A291213 A291214 KEYWORD nonn AUTHOR Hugo Pfoertner, Aug 21 2017 STATUS approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)