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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
OFFSET
1,1
COMMENTS
The corresponding closest matching integers are given in A291212.
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
Sequence in context: A341373 A363132 A287203 * A193402 A193405 A037079
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Aug 21 2017
STATUS
approved