[seqfan] Re: an idea for a sequence

franktaw at netscape.net franktaw at netscape.net
Sun Mar 2 01:44:39 CET 2014


Such problems often allow the factorial symbol as well. This would 
allow 120 = (10/2)!, and no doubt others.

Franklin T. Adams-Watters

-----Original Message-----
From: David Newman <davidsnewman at gmail.com>


As a rule I don't like sequences which are base dependant, but here's 
one
anyway.

What are the numbers which can be written using their own base 10 digits
(in the same frequency that they appear in the original number) and the
usual symbols +, -, / ,^, (, ) ?

The first three that I've found are:

121=11^2

127= (2^7)-1

128= 2^(8-1)

The example for 127 was suggested by Joseph Lewittes as appropriate for 
the
first of Adar.

I haven't found it in the OEIS.

Anyone  interested in calculating some more terms may feel free to do so
and propose it.

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