A064317 a(n) satisfies a(n)^a(n) <= n! < (a(n)+1)^(a(n)+1).

1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 41, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59

Offset

0,4

Links

Harry J. Smith, Table of n, a(n) for n = 0..1000

Example

a(7)=5 since 5^5 = 3125 <= 7! = 5040 < 6^6 = 46656.

Prog

(PARI) { f=a=1; for (n=0, 1000, if (n, f*=n); until (a^a > f, a++); a--; write("b064317.txt", n, " ", a) ) } \\ Harry J. Smith, Sep 11 2009

Crossrefs

Cf. A000142, A000312, A064318.

Sequence in context: A105235 A073719 A105566 * A182220 A127037 A089646

Adjacent sequences: A064314 A064315 A064316 * A064318 A064319 A064320

Keyword

nonn

Author

Henry Bottomley, Sep 10 2001

Status

approved