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A165736
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a(n) = n^n^n^n^n^n^n^n^n^n^... read mod 10^10.
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1
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1, 1432948736, 2464195387, 411728896, 8408203125, 7447238656, 1565172343, 9695225856, 7392745289, 0, 9172666611, 6254012416, 4655045053, 7567502336, 5380859375, 290415616, 5320085777, 5354315776, 609963179, 0, 4460652421, 2551504896, 1075718247, 1076734976
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OFFSET
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1,2
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COMMENTS
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Of course leading zeros are omitted.
a(3) gives the last 10 digits of Graham's number.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..10000
Galidakis, Ioannis and Weisstein, Eric W., Power Tower.
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FORMULA
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a(n) = n^(n^(n^(n^(n^(n^(n^(n^(n^(n^n mod 10) mod 100) mod 1000) mod 10000) mod 100000) mod 1000000) mod 10000000) mod 100000000) mod 1000000000) mod 10000000000.
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EXAMPLE
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3^3 mod 10 = 7; 3^7 mod 100 = 87; 3^87 mod 1000 = 387; 3^387 mod 10000 = 5387; 3^5387 mod 100000 = 95387; 3^95387 mod 1000000 = 195387; 3^195387 mod 10000000 = 4195387; 3^4195387 mod 100000000 = 64195387; 3^64195387 mod 1000000000 = 464195387; 3^464195387 mod 10000000000 = 2464195387; So the last 10 digits of 3^3^3^3^3^3^3^3^3^3^3^3^3^... are 2464195387 and a(3) = 2464195387.
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MAPLE
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a:= proc(n) local i, m; if irem (n, 10)=0 then 0 else m:= n; for i from 1 to 10 do m:= n&^m mod 10^i od; m fi end: seq (a(n), n=1..30); # Alois P. Heinz, Sep 28 2009
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CROSSREFS
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Sequence in context: A185931 A069320 A129249 * A048051 A073519 A166113
Adjacent sequences: A165733 A165734 A165735 * A165737 A165738 A165739
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KEYWORD
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nonn,base
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AUTHOR
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Ivan Panchenko, Sep 25 2009
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EXTENSIONS
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Edited (but not checked) by N. J. A. Sloane, Sep 28 2009
Corrected and extended by Alois P. Heinz, Sep 28 2009
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STATUS
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approved
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