[seqfan] Re: A067338

David Wilson davidwwilson at comcast.net
Thu Jan 22 05:04:19 CET 2015


No, the formula is indeed incorrect.
It requires each element to be a multiple of the previous element, this true neither for the original nor the corrected sequences.

The correct formula (check me on this), is

a(1) = k
a(2) = k * (k+1) / 2
a(n) = a(n-1) * (2 a(n-1) + a(n-2) a(n-1) + a(n-2)^2) / (2 a(n-2)), for n > 2.

A067338 is gotten by starting with k = 2.


> -----Original Message-----
> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Frank
> Adams-Watters
> Sent: Wednesday, January 21, 2015 2:15 PM
> To: seqfan at list.seqfan.eu
> Subject: [seqfan] Re: A067338
> 
> I don't think the formula there is correct, either.
> 
> Franklin T. Adams-Watters
> 
> -----Original Message-----
> From: Harvey P. Dale <hpd at hpdale.org>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Wed, Jan 21, 2015 11:19 am
> Subject: [seqfan] A067338
> 
> 
> 	Are the terms in the above sequence correct?  The given terms are 2,
> 3, 12,
> 138, 11799, 71431146, but I get 2, 3, 12, 138, 11937, 73102188 instead.
> 	Best,
> 	Harvey
> 
> 
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