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A003320
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Max_{k=0..n} k^(n-k).
(Formerly M1198)
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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; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| 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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..100
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EXAMPLE
| 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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MATHEMATICA
| Join[{1}, Max[#]&/@Table[k^(n-k), {n, 25}, {k, n}]] (* From Harvey P. Dale, June 20 2011 *)
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CROSSREFS
| Cf. A031435, A003992.
Sequence in context: A112706 A110138 A148085 * A007876 A176068 A005095
Adjacent sequences: A003317 A003318 A003319 * A003321 A003322 A003323
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy
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EXTENSIONS
| 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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