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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; internal format)
OFFSET

1,2

COMMENTS

For n < 10 there are n! distinct numbers. a(4) = Floor[1234*1243*1324*1342*1423*1432*...*4312*4321)^(1/24)]

EXAMPLE

a(3) = Floor[{123*132*213*231*312*321)^(1/6)] = 207

MATHEMATICA

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

CROSSREFS

Cf. A071268, A078266.

Sequence in context: A061637 A063906 A194481 * A089138 A051813 A028230

Adjacent sequences:  A078262 A078263 A078264 * A078266 A078267 A078268

KEYWORD

base,more,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2002

EXTENSIONS

More terms from Ryan Propper (rpropper(AT)stanford.edu), Jul 21 2006

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Last modified February 14 18:09 EST 2012. Contains 205663 sequences.