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A116081
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Final nonzero digit of n^n.
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1
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1, 4, 7, 6, 5, 6, 3, 6, 9, 1, 1, 6, 3, 6, 5, 6, 7, 4, 9, 6, 1, 4, 7, 6, 5, 6, 3, 6, 9, 9, 1, 6, 3, 6, 5, 6, 7, 4, 9, 6, 1, 4, 7, 6, 5, 6, 3, 6, 9, 5, 1, 6, 3, 6, 5, 6, 7, 4, 9, 6, 1, 4, 7, 6, 5, 6, 3, 6, 9, 9, 1, 6, 3, 6, 5, 6, 7, 4, 9, 6, 1, 4, 7, 6, 5, 6, 3, 6, 9, 1, 1, 6, 3, 6, 5, 6, 7, 4, 9, 1, 1, 4, 7, 6, 5
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The decimal number .147656369116... formed from these digits is a transcendental number; see Dresden's second article. These digits are never eventually periodic.
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REFERENCES
| G. Dresden, "Two Irrational Numbers From the Last Non-Zero Digits of n! and n^n", Math. Mag. 74 (October 2001), 316-320
Gregory P. Dresden, "Three transcendental numbers from the last non-zero digits of n^n, F_n and n!", 'Mathematics Magazine', pp. 96-105, vol. 81, 2008.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
Articles can be found on Dresden's Home Page.
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EXAMPLE
| a(4) = 6 because 4^4 (which is 256) ends in 6.
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MATHEMATICA
| f[n_] := Block[{a = n^n}, While[ Mod[a, 10] == 0, a /= 10]; Mod[a, 10]]; Array[f, 105] - Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 13 2006
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CROSSREFS
| Cf. A008904.
Cf. A056849. [From Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 17 2010]
Sequence in context: A200021 A112518 A056849 * A105228 A199550 A200353
Adjacent sequences: A116078 A116079 A116080 * A116082 A116083 A116084
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KEYWORD
| easy,base,nonn
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AUTHOR
| Greg Dresden (dresdeng(AT)wlu.edu), Mar 12 2006
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 13 2006
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