# 185 is special

Marc LeBrun mlb at well.com
Fri Jun 1 23:38:38 CEST 2007

```silly ways you can create such a sequence:
a(n) = A000027(n + 184)
185  =  184 + 1  =  8 * 23 + 1  =  2^3 * 4!-1 + 1 = (3*1-1)^3*((1+3)!-1)+1
a(n) = (3*n-1)^3*((n+3)!-n!)+n  =  185, 14752, 365571, 6676300,
185 = (3!)!/4+5
a(n) = ((n+2)!)!/(n+1)^(n+1)+(n+2)!-1  =  185, 22979570434564423680023, ...
sequences will be "interesting" enough for inclusion in the OEIS.
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From: "Andrew Plewe" <aplewe at sbcglobal.net>
To: "'Max Alekseyev'" <maxale at gmail.com>
Cc: <seqfan at ext.jussieu.fr>, <jvospost2 at yahoo.com>
Subject: RE: A129755 (??!!)
Date: Fri, 1 Jun 2007 14:54:57 -0700
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subtracting the positive solution, 3, from x; y = 11 - 3 = 8. Therefore
-Andrew Plewe-
From: Max Alekseyev [mailto:maxale at gmail.com]
Sent: Friday, June 01, 2007 2:04 PM
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Subject: Re: A129755 (??!!)
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Date: Fri, 1 Jun 2007 14:57:48 -0700
From: "Joshua Zucker" <joshua.zucker at gmail.com>
To: "sequence fans" <seqfan at ext.jussieu.fr>
Subject: Re: 185 is special
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References: <200705311840.AA911671600 at TanyaKhovanova.com>
<200706012144.l51LiWAZ018879 at smtp.well.com>
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Don't forget the sequence
a(n) = smallest number not appearing as the nth term of a sequence in OEIS.

--Joshua Zucker

```

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