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A185497
T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum.
10
0, 24, 24, 36, 128, 36, 160, 708, 708, 160, 380, 3792, 5936, 3792, 380, 1332, 20872, 59384, 59384, 20872, 1332, 3616, 114724, 559188, 1020072, 559188, 114724, 3616, 11828, 631720, 5442964, 17217132, 17217132, 5442964, 631720, 11828, 33764
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OFFSET
1,2
COMMENTS
Table starts
......0........24..........36...........160............380...........1332
.....24.......128.........708..........3792..........20872.........114724
.....36.......708........5936.........59384.........559188........5442964
....160......3792.......59384.......1020072.......17217132......294899588
....380.....20872......559188......17217132......512228678....15557758676
...1332....114724.....5442964.....294899588....15557758676...835833221744
...3616....631720....52129536....5020204316...468319269164.44566790792864
..11828...3480976...504455124...85864759616.14183811777874
..33764..19187324..4854725100.1465390598424
.107240.105781152.46887124724
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..84
EXAMPLE
Some solutions for 5X4
..0..1..1..0....1..1..0..1....0..1..0..1....1..1..1..0....1..1..1..1
..0..0..1..1....1..1..0..1....1..1..1..0....1..1..1..0....0..1..1..1
..1..0..0..1....1..1..1..0....1..0..1..0....0..1..0..1....1..1..1..1
..0..1..1..1....1..0..1..1....0..1..0..1....1..0..0..1....0..0..1..0
..1..0..0..1....0..1..0..1....0..0..0..0....0..1..0..1....1..1..0..1
CROSSREFS
Sequence in context:
A115028
A099543
A188311
*
A186939
A185750
A040553
Adjacent sequences:
A185494
A185495
A185496
*
A185498
A185499
A185500
KEYWORD
nonn
,
tabl
AUTHOR
R. H. Hardin
, Jan 29 2011
STATUS
approved
