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

3,1

Comments

Cyclic with a period of 20

Links

Table of n, a(n) for n=3..102.

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).

Mathematica

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

Prog

(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

Crossrefs

A056849

Sequence in context: A242612 A361619 A199386 * A121313 A111204 A000510

Adjacent sequences: A143956 A143957 A143958 * A143960 A143961 A143962

Keyword

base,easy,nonn

Author

Sébastien Dumortier, Sep 05 2008

Status

approved