[seqfan] Re: Help with A002793 needed/Karol A. Penson

Christopher Gribble chris.eveswell at virgin.net
Mon Jul 5 19:11:16 CEST 2010


Hi Karol,

The formula for A002793 is in the title for the sequence, namely:

	a(n) = 2n * a(n-1) - (n-1)^2 * a(n-2)

Best regards,

Chris Gribble


-----Original Message-----
From: seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu]
On Behalf Of Karol PENSON
Sent: 05 July 2010 6:02 PM
To: Sequence Fanatics Discussion list; Karol
Subject: [seqfan] Help with A002793 needed/Karol A. Penson

Can anyone help with the following three questions concerning A002793:

     1.  is the formula for a(n) known ?
     2.  is any generating function (ogf , egf ... etc. ) of a(n) known ?
     3.  in one of my calculations the following splitting of a(n)'s 
appear :

                   a(2)=4    =3+1
                   a(3)=20  =11+8+1
                   a(4)=124=50+58+15+1
                   a(5)=920=274+444+177+24+1,
                         etc.
         I would be happy to obtain the formula for the triangle.

       Thanks in advance ,    Karol A. Penson




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