A005245 conjecture

David Wilson davidwwilson at comcast.net
Wed Jan 30 05:13:45 CET 2008


My bad.

----- Original Message ----- 
From: "Max Alekseyev" <maxale at gmail.com>
To: "David Wilson" <davidwwilson at comcast.net>
Cc: "Sequence Fans" <seqfan at ext.jussieu.fr>
Sent: Monday, January 28, 2008 6:45 AM
Subject: Re: A005245 conjecture


> Well, it turns out that David's conjecture [2] is NOT true.
> 
> Namely, if we assume that [2] is true and will use formula [3] to
> compute terms of A005245 then we will come to a contradiction with [2]
> for n = 21080618:
> a(6) = 5
> a(n-6) = 49
> a(n-1) = 54
> and
> a(6) + a(n-6) = 54 < 55 = a(n-1) + 1.






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