A187751 n^(n!) mod (n!)^n.

0, 0, 0, 81, 225280, 7991790625, 1078848154238976, 65180706714634067542224001, 1650157594512930366268925848349310976, 66807065275536807794426016376688705273224158387201

Offset

0,4

Links

Table of n, a(n) for n=0..9.

Formula

a(n) = A053986(n) mod A036740(n).

Example

a(3) = 3^6 mod 6^3 = 729 mod 216 = 81.

Prog

(Python)
import math
for n in range(12):
  f = math.factorial(n)
  print (n**f) % (f**n),
(Maxima) A187751(n):=mod(n^(n!), (n!)^n)$ makelist(A187751(n), n, 0, 9); /* Martin Ettl, Jan 13 2013 */

Crossrefs

Cf. A053986, A036740.

Sequence in context: A145261 A013745 A093227 * A285997 A143675 A033435

Adjacent sequences: A187748 A187749 A187750 * A187752 A187753 A187754

Keyword

nonn

Author

Alex Ratushnyak, Jan 03 2013

Status

approved