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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: A231546 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 October 20 20:24 EDT 2019. Contains 328273 sequences. (Running on oeis4.)