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A100990 n^21 mod 100. +0
2
0, 1, 52, 3, 4, 25, 56, 7, 8, 9, 0, 11, 12, 13, 64, 75, 16, 17, 68, 19, 0, 21, 72, 23, 24, 25, 76, 27, 28, 29, 0, 31, 32, 33, 84, 75, 36, 37, 88, 39, 0, 41, 92, 43, 44, 25, 96, 47, 48, 49, 0, 51, 52, 53, 4, 75, 56, 57, 8, 59, 0, 61, 12, 63, 64, 25, 16, 67, 68, 69, 0, 71, 72, 73, 24 (list; graph; listen)
OFFSET

0,3

COMMENT

Also n^(20k+1) mod 100 for any positive integer k.

There are 63 numbers (075821) where the final two digits of n^21, n^41, n^61, etc. are equal to n.

FORMULA

a(n) = A051126(A010809(n), 100) = a(n-100)

EXAMPLE

a(11)= 11 since 11^21= 7400249944258160101211 and the final two digits are 11.

CROSSREFS

Sequence in context: A135531 A038777 A022079 this_sequence A048365 A033372 A126767

Adjacent sequences: A100987 A100988 A100989 this_sequence A100991 A100992 A100993

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Nov 25 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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