A143959 Final digit of n^(n+1)-(n+1)^n for n>2.

7, 9, 9, 7, 9, 7, 1, 9, 3, 1, 5, 9, 9, 5, 1, 1, 1, 9, 9, 9, 7, 9, 9, 7, 9, 7, 1, 9, 3, 1, 5, 9, 9, 5, 1, 1, 1, 9, 9, 9, 7, 9, 9, 7, 9, 7, 1, 9, 3, 1, 5, 9, 9, 5, 1, 1, 1, 9, 9, 9, 7, 9, 9, 7, 9, 7, 1, 9, 3, 1, 5, 9, 9, 5, 1, 1, 1, 9, 9, 9, 7, 9, 9, 7, 9, 7, 1, 9, 3, 1, 5, 9, 9, 5, 1, 1, 1, 9, 9, 9

Offset: 3

Author

Sébastien Dumortier, Sep 05 2008

Keywords

• base
• easy
• nonn

Comments

Cyclic with a period of 20

Links

• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

A056849

Programs

Mathematica

Last[IntegerDigits[#^(#+1)-(#+1)^#]]&/@ Range[3,150]  (* Harvey P. Dale, Mar 12 2011 *)

Python

# -*- coding: iso-8859-1 -*- from math import * n=3 while n<100: ....r=(n**(n+1)-(n+1)**n)%10 ....print r, ....n=n+1