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A072967 Least k>n such that the last digit of k^k is the same as the last digit of n^n. +0
1
11, 18, 17, 6, 15, 8, 13, 12, 19, 20, 21, 14, 27, 16, 25, 24, 23, 22, 29, 30, 31, 38, 37, 26, 35, 28, 33, 32, 39, 40, 41, 34, 47, 36, 45, 44, 43, 42, 49, 50, 51, 58, 57, 46, 55, 48, 53, 52, 59, 60, 61, 54, 67, 56, 65, 64, 63, 62, 69, 70, 71, 78, 77, 66, 75, 68, 73, 72, 79, 80 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=n+b(n) where b(n) is a periodic sequence 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 21

PROGRAM

(PARI) a(n)=if(n<0, 0, s=n+1; while(abs(s^s%10-n^n%10)>0, s++); s)

CROSSREFS

Adjacent sequences: A072964 A072965 A072966 this_sequence A072968 A072969 A072970

Sequence in context: A065706 A078874 A059141 this_sequence A054306 A093519 A031119

KEYWORD

base,easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 13 2002

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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