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Search: id:A072968
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| A072968 |
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Least k>0 such that the last digit of (n+k)^(n+k) is the same as the last digit of n^n. |
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+0
1
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| 10, 16, 14, 2, 10, 2, 6, 4, 10, 10, 10, 2, 14, 2, 10, 8, 6, 4, 10, 10, 10, 16, 14, 2, 10, 2, 6, 4, 10, 10, 10, 2, 14, 2, 10, 8, 6, 4, 10, 10, 10, 16, 14, 2, 10, 2, 6, 4, 10, 10, 10, 2, 14, 2, 10, 8, 6, 4, 10, 10, 10, 16, 14, 2, 10, 2, 6, 4, 10, 10, 10, 2, 14, 2, 10, 8, 6, 4, 10, 10, 10
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n) is periodic with period (10, 16, 14, 2, 10, 2, 6, 4, 10, 10, 10, 2, 14, 2, 10, 8, 6, 4, 10, 10, 10) of length 20
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PROGRAM
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(PARI) a(n)=if(n<0, 0, s=1; while(abs((n+s)^(n+s)%10-n^n%10)>0, s++); s)
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CROSSREFS
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Sequence in context: A134515 A167788 A167789 this_sequence A072138 A109891 A104869
Adjacent sequences: A072965 A072966 A072967 this_sequence A072969 A072970 A072971
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KEYWORD
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base,easy,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 13 2002
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