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

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..448

Formula

a(n) = A214046(n)^n for n > 1. - Robert Israel, Nov 25 2024

Example

a(5) = 243 as 243 = 3^5 > 5! > 2^5.

Maple

g:= proc(n)  floor(1+(n!)^(1/n))^n end proc:
map(g, [$1..30]); # Robert Israel, Nov 25 2024

Crossrefs

Cf. A087374, A214046.

Sequence in context: A270381 A099280 A018560 * A018580 A267457 A322614

Adjacent sequences: A087372 A087373 A087374 * A087376 A087377 A087378

Keyword

nonn

Author

Amarnath Murthy, Sep 09 2003

Extensions

Corrected and extended by Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 25 2004

Status

approved