[seqfan] Re: Nonattacking queens on a quarter-boar

Rob Pratt Rob.Pratt at sas.com
Sun Jun 4 21:32:36 CEST 2017


1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Neil Sloane
Sent: Sunday, June 04, 2017 3:24 PM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Nonattacking queens on a quarter-boar

EXTERNAL

Rob,  Thanks for extending that sequence (A287864) and for the reminder that the bisection was already there (as A274933)!

Sequences beginning 1,2,3,4,5,6 are hard to look up in the OEIS, but if I had thought to search for
1,2,3,4,5,6 queens
I would have found it.

Do you have the first 100 terms of A287864 handy?  Could you send them to me?


Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Sun, Jun 4, 2017 at 1:40 PM, Rob Pratt <Rob.Pratt at sas.com> wrote:

> For n = 1 to 100, here are the exceptions to the "pairs increasing by 1"
> pattern:
>
> a(1) = a(2) = a(3) = 1
> a(12) = a(13) = a(14) = 6
> a(27) = a(28) = a(29) = 13
> a(44) = a(45) = a(46) = 21
> a(59) = a(60) = a(61) = 28
> a(74) = a(75) = a(76) = 35
> a(89) = a(90) = a(91) = 42
>
> -----Original Message-----
> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Bob 
> Selcoe
> Sent: Sunday, June 04, 2017 12:37 PM
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: Nonattacking queens on a quarter-boar
>
> EXTERNAL
>
> Rob,
>
> A hunch -  do a(65..67) = 31 and a(88..90) = 42, while all other terms
> a(51..87) appear in pairs, increasing by 1?
>
> Cheers,
> Bob Selcoe
>
> Sent from my iPhone
>
> > On Jun 4, 2017, at 10:15 AM, Rob Pratt <Rob.Pratt at sas.com> wrote:
> >
> > The first 50 terms are:
> > 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 
> > 11,
> 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 
> 19, 20, 20, 21, 21, 21, 22, 22, 23, 23
> >
> > The sequence for odd boards is already here: http://oeis.org/A274933
> >
> > -----Original Message-----
> > From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of 
> > Neil
> Sloane
> > Sent: Sunday, June 04, 2017 10:55 AM
> > To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> > Subject: [seqfan] Nonattacking queens on a quarter-boar
> >
> > EXTERNAL
> >
> > For an application I needed this new sequence, A287864, which I did 
> > by
> hand
> > - needs more terms
> >
> > --
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> >
> > --
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>
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