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A061429 Geometric mean of the digits = 6. In other words the product of the digits is = 6^k where k is the number of digits. 3
6, 49, 66, 94, 389, 398, 469, 496, 649, 666, 694, 839, 893, 938, 946, 964, 983, 2899, 2989, 2998, 3689, 3698, 3869, 3896, 3968, 3986, 4499, 4669, 4696, 4949, 4966, 4994, 6389, 6398, 6469, 6496, 6649, 6666, 6694, 6839, 6893, 6938, 6946, 6964, 6983, 8299 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The smallest number containing all the possible digits is 123468889999999. - Jianing Song, Nov 21 2019

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

694 is a term as the geometric mean of digits is (6*9*4)^(1/3)= 6.

MATHEMATICA

Select[Range[9000], GeometricMean[IntegerDigits[#]]==6&] (* Harvey P. Dale, May 29 2021 *)

PROG

(Haskell)

a061429 n = a061429_list !! (n-1)

a061429_list = filter (h 1 1) [1..] where

   h 0 _ _ = False

   h u v 0 = u == v

   h u v w = h (r * u) (6 * v) w' where (w', r) = divMod w 10

-- Reinhard Zumkeller, Jan 13 2014

CROSSREFS

Cf. A061426-A061430.

Cf. A000400.

Sequence in context: A084259 A028308 A173011 * A048357 A027766 A097299

Adjacent sequences:  A061426 A061427 A061428 * A061430 A061431 A061432

KEYWORD

nonn,base,easy,look

AUTHOR

Amarnath Murthy, May 03 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001

STATUS

approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)