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A054028 a(n) = first k such that 2^k >= k^n, (for n >= 2, k >= 2). 2
2, 10, 16, 23, 30, 37, 44, 52, 59, 67, 75, 83, 92, 100, 109, 117, 126, 135, 144, 153, 162, 171, 180, 190, 199, 208, 218, 227, 237, 247, 256, 266, 276, 286, 296, 306, 316, 326, 336, 346, 356, 367, 377, 387, 398, 408, 418, 429, 439, 450, 460, 471, 482, 492 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 2..1000

EXAMPLE

a(3) = 10 since 2^10=1024 >= 10^3=1000. a(4) = 16 since 2^16=65536 >= 16^4=65536.

MAPLE

Digits:= 500: f := k->2^x=x^k; seq(ceil(fsolve(f(n), x, 2..infinity)), n=2..20); # for n >= 2

MATHEMATICA

f[n_]:=Module[{k=2}, While[2^k<k^n, k++]; k]; Join[{0, 0}, Array[f, 60, 2]] (* Harvey P. Dale, Jan 15 2012 *)

PROG

(Haskell)

a054028 n = head [k | k <- [2..], 2^k >= k^n] :: Integer

-- Reinhard Zumkeller, Jul 24 2013

CROSSREFS

Cf. A000079, A054029.

Sequence in context: A307055 A060658 A239321 * A063716 A125212 A341060

Adjacent sequences:  A054025 A054026 A054027 * A054029 A054030 A054031

KEYWORD

nonn,nice

AUTHOR

Asher Auel (asher.auel(AT)reed.edu), Feb 28 2000

STATUS

approved

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)