[seqfan] Re: DigitMean of a(n)

Vladimir Shevelev shevelev at bgu.ac.il
Sun May 10 09:45:50 CEST 2015


Definitely there are infinitely many such numbers N:
1500, 15100, 151100, 1511100,....,
or 
18000,181000,1811000,18111000,...

Best regards,
Vladimir

________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Eric Angelini [Eric.Angelini at kntv.be]
Sent: 09 May 2015 20:35
To: Sequence Discussion list
Subject: [seqfan] DigitMean of a(n)

Hello SeqFans,
Let's say that the "DigitMean" of a(n)
is the sum of the digits of a(n) divided
by the quantity of digits in a(n).

Example: 2015 has DigitMean = 2
because (2+0+1+5)/4 = 2.

We could look for integers N such
that DigitMean(N) _starts_ with the
digits of N:

45, for example, has DM = 4,5
566 has DM = 5.66666...
1500 has DM = 1.500
2250 has DM = 2.250
3750 has DM = 3.750
18000 has DM = 1.8000
383333 has DM = 3.83333...
4428571 has DM = 4.428571...
...
I guess there are infinitely more
such integers, but their length
increases very quick...

Best,
É.




Catapulté de mon aPhone

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