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A056849
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Final digit of n^n.
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2
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1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0, 1, 4, 7, 6, 5, 6, 3, 6, 9, 0, 1, 6, 3, 6, 5, 6, 7, 4, 9, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| R. Euler & J. Sadek, "A Number That Gives The Units Of n^n", Journal of Recreational Mathematics, pp. 203-4 vol. 29(3) Baywood NY 1998.
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
| Index entries for sequences related to final digits of numbers
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MAPLE
| [seq(n^n mod 10, n=1..120)];
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MATHEMATICA
| Table[ PowerMod[ n, n, 10 ], {n, 1, 100} ] Note: cyclic with a period of 20.
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PROG
| (MAGMA) [n^n mod 10: n in [1..150]]; // Vincenzo Librandi, Apr 12 2011
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CROSSREFS
| Cf. A000312.
Sequence in context: A094641 A200021 A112518 * A116081 A105228 A199550
Adjacent sequences: A056846 A056847 A056848 * A056850 A056851 A056852
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KEYWORD
| nonn,base
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 30 2000
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