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A062181 Harmonic mean of digits is 3. 0

%I #9 Mar 26 2021 12:25:54

%S 3,26,33,62,236,244,263,326,333,362,424,442,623,632,1999,2266,2336,

%T 2344,2363,2434,2443,2626,2633,2662,3236,3244,3263,3326,3333,3362,

%U 3424,3442,3623,3632,4234,4243,4324,4342,4423,4432,6226,6233,6262,6323,6332

%N Harmonic mean of digits is 3.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HarmonicMean.html">Harmonic Mean</a>.

%H Wikipedia, <a href="http://www.wikipedia.org/wiki/Harmonic_mean">Harmonic mean</a>.

%t Do[ h = IntegerDigits[n]; If[ Sort[h][[1]] != 0 && Length[h]/Apply[Plus, 1/h] == 3, Print[n]], {n, 1, 10^4}]

%o (Python)

%o from fractions import Fraction

%o def hm(n):

%o s = str(n)

%o return None if '0' in s else len(s)/sum(Fraction(1, int(d)) for d in s)

%o def aupto(limit): return [m for m in range(limit+1) if hm(m) == 3]

%o print(aupto(6332)) # _Michael S. Branicky_, Mar 26 2021

%Y Cf. A062179-A062185, A061383-A061388, A061423-A061425.

%K base,easy,nonn

%O 1,1

%A _Vladeta Jovovic_, Jun 12 2001

%E More terms from _Henry Bottomley_, Jul 25 2001

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)