[seqfan] Re: Column Recurrences of Fibonacci Order = Tilings

[Neil Sloane]

> Anyway they could be entered as proved on the various sequences thereby
linked, assuming the proof generalizes without the upper left 1.

Yes, it does - and Doron also gave me the Maple code
that will produce the generating functions.


On Tue, Aug 20, 2013 at 4:43 PM, Ron Hardin <rhhardin at att.net> wrote:

> If you omit the requirement that the upper left corner = 1,  then you get
> binary matrices with no h,v,or nw-se adjacent 1's
>
> Table starts
> ...2....3......5.......8.......13........21........34........55........89
> ...3....6.....13......28.......60.......129.......277.......595......1278
> ...5...13.....42.....126......387......1180......3606.....11012.....33636
> ...8...28....126.....524.....2229......9425.....39905....168925....715072
> ..13...60....387....2229....13322.....78661....466288...2760690..16350693
> ..21..129...1180....9425....78661....647252...5350080..44159095.364647622
> ..34..277...3606...39905...466288...5350080..61758332.711479843..........
> ..55..595..11012..168925..2760690..44159095.711479843....................
> ..89.1278..33636..715072.16350693.364647622..............................
> .144.2745.102733.3027049.96830726........................................
>
> which is http://oeis.org/A226444  , conceived as a tiling with
> rows/columns all over OEIS, omitting two rows and columns of 1's.
>
> The same recurrences seem to work for these rows and columns too and
> perhaps are simpler theoretically.
> Anyway they could be entered as proven on the various sequences thereby
> linked, assuming the proof generalizes without the upper left 1.
>
>
>
>
> rhhardin at mindspring.com
> rhhardin at att.net (either)
>
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>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
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