[seqfan] Re: Parking lot for bad drivers

Bob Selcoe rselcoe at entouchonline.net
Fri Jul 17 21:58:23 CEST 2015


Thanks - Rob Pratt already provided a solution off-list.

Cheers,
Bob S.



--------------------------------------------------
From: "Bob Selcoe" <rselcoe at entouchonline.net>
Sent: Thursday, July 16, 2015 1:34 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Parking lot for bad drivers

> Hi Rob & Seqfans,
>
> Would you please provide a solution for A260090(15) = 85?  I can only see 
> 84
> as maximum.
>
> Thanks,
> Bob Selcoe
>
>
> --------------------------------------------------
> From: "Rob Pratt" <Rob.Pratt at sas.com>
> Sent: Wednesday, July 15, 2015 3:41 PM
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: Parking lot for bad drivers
>
>> At Neil's request, I created a new entry (will be 
>> http://oeis.org/A260090).  I described it in terms of attacking kings on 
>> a chessboard and conjectured a formula.
>>
>> -----Original Message-----
>> From: Rob Pratt
>> Sent: Wednesday, July 15, 2015 11:29 AM
>> To: Sequence Fanatics Discussion list
>> Subject: RE: [seqfan] Re: Parking lot for bad drivers
>>
>> And here’s a less trivial 26-car solution:
>>
>> XX_XX_XX
>> ________
>> XX_XX_XX
>> ________
>> XX_XX_X_
>> _______X
>> X_X_X___
>> X_X_X_XX
>>
>> For n in 1,...,8, I get the following, which is not in OEIS:
>> 1, 2, 4, 8, 12, 16, 21, 26
>>
>> -----Original Message-----
>> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of 
>> APPLEGATE, DAVID L (DAVID L)
>> Sent: Wednesday, July 15, 2015 10:54 AM
>> To: Sequence Fanatics Discussion list
>> Subject: [seqfan] Re: Parking lot for bad drivers
>>
>> I wonder if I misunderstand the problem as well - as I understand the 
>> problem, there's a trivial 24-car solution for the 8x8 lot:
>>
>> XX_XX_XX
>> ________
>> XX_XX_XX
>> ________
>> XX_XX_XX
>> ________
>> XX_XX_XX
>> ________
>>
>> David Applegate
>>
>> -----Original Message-----
>> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Rob 
>> Pratt
>> Sent: Wednesday, July 15, 2015 10:45 AM
>> To: Sequence Fanatics Discussion list
>> Subject: [seqfan] Re: Parking lot for bad drivers
>>
>> Sorry, I just realized that I misinterpreted your problem to mean no 
>> three in a row, so A181018 provides only an upper bound.
>>
>> -----Original Message-----
>> From: Rob Pratt
>> Sent: Wednesday, July 15, 2015 10:42 AM
>> To: 'Sequence Fanatics Discussion list'
>> Subject: RE: [seqfan] Parking lot for bad drivers
>>
>> https://oeis.org/A181018
>>
>> -----Original Message-----
>> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Dale 
>> Gerdemann
>> Sent: Wednesday, July 15, 2015 6:22 AM
>> To: Sequence Fanatics Discussion list
>> Subject: [seqfan] Parking lot for bad drivers
>>
>> Hello seqfans,
>>
>> Here's a puzzle from p. 39 of "Let's be Less Stupid" by Patricia Marx:
>>
>> At the parking lot for bad drivers, you are not allowed to park in a spot 
>> that is next to two occupied spots. In other words, no three cars can be 
>> contiguous--vertically, horizontally, or diagonally. ... How many cars 
>> can the lot fit.
>>
>> As an example, the book shows an 8x8 "parking lot" (looks like a
>> chessboard) and gives a solution fitting 16 cars into this lot.
>>
>> Is this in the OEIS?
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
> 



More information about the SeqFan mailing list