[seqfan] Re: n X n binary array quasi-packing problem

Ron Hardin rhhardin at att.net
Mon Feb 13 18:39:25 CET 2017


I guess quasipolynomials would be sensible if the solutions lock up locally for big enough n.
I'd suppose with coefficient period related to how often the upper bound is an integer. rhhardin at mindspring.com rhhardin at att.net (either)

      From: Rob Pratt <Rob.Pratt at sas.com>
 To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu> 
 Sent: Monday, February 13, 2017 12:10 PM
 Subject: [seqfan] Re: n X n binary array quasi-packing problem
   
Two more:
19    241
20    268

All three of these sequences are well approximated by quadratic polynomials.

-----Original Message-----
From: Rob Pratt 
Sent: Friday, February 10, 2017 6:42 PM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: RE: [seqfan] Re: n X n binary array quasi-packing problem

1    0
2    2
3    5
4    9
5    15
6    22
7    31
8    40
9    51
10    64
11    78
12    94
13    111
14    129
15    148
16    170
17    192
18    215

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Ron Hardin
Sent: Friday, February 10, 2017 10:32 AM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: n X n binary array quasi-packing problem

Can you easily do b=6, horizontal vertical and antidiagonal?
(I prefer antidiagonal because the word avoids implying both diagonals, and also the natural representation is more compact, making caching work better, when that matters.)
 rhhardin at mindspring.com rhhardin at att.net (either)

      From: Rob Pratt <Rob.Pratt at sas.com>
 To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu> 
 Sent: Friday, February 10, 2017 12:08 AM
 Subject: [seqfan] Re: n X n binary array quasi-packing problem
  
A few more terms for b = 4:
1    0
2    1
3    3
4    8
5    11
6    17
7    25
8    32
9    43
10    52
11    64
12    77
13    91
14    108
15    123
16    141
17    160
18    180
19    203
20    224



  

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