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Search: id:A003320
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| A003320 |
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Max_{k=0..n} k^(n-k).
(Formerly M1198)
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+0
1
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| 1, 1, 1, 2, 4, 9, 27, 81, 256, 1024, 4096, 16384, 78125, 390625, 1953125, 10077696, 60466176, 362797056, 2176782336, 13841287201, 96889010407, 678223072849, 4747561509943, 35184372088832, 281474976710656, 2251799813685248
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
D. Easdown, Minimal faithful permutation and transformation representations of groups and semigroups, Contemporary Math. (1992), Vol. 131 (Part 3), 75-84.
I. Tomescu, Introducere in Combinatorica. Editura Tehnica, Bucharest, 1972, p. 231.
R. Gray and J. D. Mitchell, Largest subsemigroups of the full transformation monoid, Discrete Math., 308 (2008), 4801-4810.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
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EXAMPLE
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a(5) = max(5^0,4^1,3^2,2^3,1^4,0^5) = max(1,4,9,8,1,0) = 9.
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CROSSREFS
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Cf. A031435, A003992.
Sequence in context: A112706 A110138 A148085 this_sequence A007876 A005095 A092329
Adjacent sequences: A003317 A003318 A003319 this_sequence A003321 A003322 A003323
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy
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EXTENSIONS
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Easdown reference from Michail Kats (KatsMM(AT)info.sgu.ru)
More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 21 2000
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