cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A087375 Smallest n-th power > n!.

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%I A087375 #12 Mar 27 2025 21:31:34
%S A087375 2,4,8,81,243,729,16384,65536,1953125,9765625,48828125,2176782336,
%T A087375 13060694016,678223072849,4747561509943,33232930569601,
%U A087375 2251799813685248,18014398509481984,144115188075855872,12157665459056928801,109418989131512359209,10000000000000000000000,100000000000000000000000,1000000000000000000000000,108347059433883722041830251
%N A087375 Smallest n-th power > n!.
%H A087375 Robert Israel, <a href="/A087375/b087375.txt">Table of n, a(n) for n = 1..448</a>
%F A087375 a(n) = A214046(n)^n for n > 1. - _Robert Israel_, Nov 25 2024
%e A087375 a(5) = 243 as 243 = 3^5 > 5! > 2^5.
%p A087375 g:= proc(n)  floor(1+(n!)^(1/n))^n end proc:
%p A087375 map(g, [$1..30]); # _Robert Israel_, Nov 25 2024
%t A087375 a[n_]:=Floor[1+(n!)^(1/n)]^n; Array[a,25] (* _Stefano Spezia_, Mar 27 2025 *)
%Y A087375 Cf. A087374, A214046.
%K A087375 nonn
%O A087375 1,1
%A A087375 _Amarnath Murthy_, Sep 09 2003
%E A087375 Corrected and extended by Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 25 2004