A087375 Smallest n-th power > n!.
2, 4, 8, 81, 243, 729, 16384, 65536, 1953125, 9765625, 48828125, 2176782336, 13060694016, 678223072849, 4747561509943, 33232930569601, 2251799813685248, 18014398509481984, 144115188075855872, 12157665459056928801, 109418989131512359209, 10000000000000000000000, 100000000000000000000000, 1000000000000000000000000, 108347059433883722041830251
Offset: 1
Keywords
Examples
a(5) = 243 as 243 = 3^5 > 5! > 2^5.
Links
- Robert Israel, Table of n, a(n) for n = 1..448
Programs
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Maple
g:= proc(n) floor(1+(n!)^(1/n))^n end proc: map(g, [$1..30]); # Robert Israel, Nov 25 2024
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Mathematica
a[n_]:=Floor[1+(n!)^(1/n)]^n; Array[a,25] (* Stefano Spezia, Mar 27 2025 *)
Formula
a(n) = A214046(n)^n for n > 1. - Robert Israel, Nov 25 2024
Extensions
Corrected and extended by Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 25 2004