STATUS
editing
approved
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Revision History for A260370
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111
(history; published version)
(history; published version)
LINKS
R. H. Hardin, <a href="/A260370/b260370.txt">Table of n, a(n) for n = 1..544</a>
NAME
allocated for R. H. Hardin
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111
DATA
48, 78, 78, 208, 127, 208, 436, 342, 342, 436, 616, 700, 912, 700, 616, 1378, 896, 2014, 2014, 896, 1378, 2880, 2047, 2532, 4633, 2532, 2047, 2880, 4904, 4438, 5806, 5326, 5326, 5806, 4438, 4904, 9776, 6674, 13632, 12858, 6144, 12858, 13632, 6674, 9776
OFFSET
1,1
COMMENTS
Table starts
....48....78...208....436....616...1378....2880....4904....9776....19458
....78...127...342....700....896...2047....4438....6674...12878....27877
...208...342...912...2014...2532...5806...13632...20576...39376....91830
...436...700..2014...4633...5326..12858...32488...46993...89140...223963
...616...896..2532...5326...6144..15440...37948...52390..101664...257566
..1378..2047..5806..12858..15440..38370...98032..140897..274244...711411
..2880..4438.13632..32488..37948..98032..265120..390138..774416..2085610
..4904..6674.20576..46993..52390.140897..390138..551542.1079598..3047471
..9776.12878.39376..89140.101664.274244..774416.1079598.2092680..6087830
.19458.27877.91830.223963.257566.711411.2085610.3047471.6087830.17786146
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) -a(n-2) +5*a(n-3) -a(n-4) +5*a(n-5) -3*a(n-6) -a(n-7)
k=2: [order 12]
k=3: [order 28] for n>30
k=4: [order 44] for n>46
k=5: [order 64] for n>66
EXAMPLE
Some solutions for n=4 k=4
..1..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..0..0..0..0..0....1..0..0..1..1..0....0..0..0..0..1..0....0..1..1..0..0..1
..0..0..0..1..1..0....0..0..0..0..0..0....1..1..0..0..1..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..0..0..0..0..0....0..1..0..0..1..0....0..0..0..0..0..0....1..1..0..0..1..0
..1..0..0..1..1..0....0..1..0..0..1..0....0..0..1..0..0..1....1..0..0..0..1..0
KEYWORD
allocated
nonn,tabl
AUTHOR
R. H. Hardin, Jul 23 2015
STATUS
approved
editing
NAME
allocated for R. H. Hardin
KEYWORD
allocated
STATUS
approved