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 A078265 Integer part of the geometric mean of all the distinct numbers formed by permuting the digits of concatenation of numbers from 1 to n. 1
 1, 15, 207, 2544, 30091, 347096, 3931343, 43906441, 484912312, 5306957044 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For n < 10 there are n! distinct numbers. LINKS Table of n, a(n) for n=1..10. EXAMPLE a(3) = floor((123*132*213*231*312*321)^(1/6)) = floor(207.581...) = 207. a(4) = floor((1234*1243*1324*1342*1423*1432*...*4312*4321)^(1/24)) = floor(2544.967...) = 2544. MATHEMATICA a[n_] := Floor[ (Times @@ FromDigits /@ Permutations[Range[n]])^(1/n!) ]; Table[a[n], {n, 1, 10}] (* Ryan Propper, Jul 21 2006 *) CROSSREFS Cf. A071268, A078266. Sequence in context: A362809 A063906 A194481 * A089138 A271333 A051813 Adjacent sequences: A078262 A078263 A078264 * A078266 A078267 A078268 KEYWORD base,more,nonn AUTHOR Amarnath Murthy, Nov 24 2002 EXTENSIONS More terms from Ryan Propper, Jul 21 2006 STATUS approved

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Last modified September 13 08:45 EDT 2024. Contains 375904 sequences. (Running on oeis4.)