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A143959
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Final digit of n^(n+1)-(n+1)^n for n>2
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0
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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
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OFFSET
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3,1
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COMMENTS
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Cyclic with a period of 20
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LINKS
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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).
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MATHEMATICA
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Last[IntegerDigits[#^(#+1)-(#+1)^#]]&/@ Range[3, 150] (* Harvey P. Dale, Mar 12 2011 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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