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Search: id:A078265
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| A078265 |
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Integer part of the geometric mean of all the distinct numbers formed by permuting the digits of concatenation of numbers from 1 to n. |
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+0
2
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| 1, 15, 207, 2544, 30091, 347096, 3931343, 43906441, 484912312, 5306957044
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For n < 10 there are n! distinct numbers. a(4) = Floor[1234*1243*1324*1342*1423*1432*...*4312*4321)^(1/24)]
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EXAMPLE
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a(3) = Floor[{123*132*213*231*312*321)^(1/6)] = 207
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MATHEMATICA
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a[n_] := Floor[ (Times @@ FromDigits /@ Permutations[Range[n]])^(1/n!) ]; Table[a[n], {n, 1, 10}] - Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006
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CROSSREFS
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Cf. A071268, A078266.
Adjacent sequences: A078262 A078263 A078264 this_sequence A078266 A078267 A078268
Sequence in context: A093747 A061637 A063906 this_sequence A089138 A051813 A028230
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KEYWORD
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base,more,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2002
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006
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