

A237067


T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal


9



81, 255, 255, 826, 1101, 826, 2823, 5034, 5034, 2823, 9815, 25451, 32336, 25451, 9815, 34996, 132095, 243256, 243256, 132095, 34996, 125469, 723774, 1812742, 2913981, 1812742, 723774, 125469, 457125, 3983941, 15086720, 33501807, 33501807
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OFFSET

1,1


COMMENTS

Table starts
......81.......255.........826...........2823.............9815
.....255......1101........5034..........25451...........132095
.....826......5034.......32336.........243256..........1812742
....2823.....25451......243256........2913981.........33501807
....9815....132095.....1812742.......33501807........541432879
...34996....723774....15086720......454477716......11326961712
..125469...3983941...119493128.....5566497747.....191474736979
..457125..22797711..1047778362....80054821507....4316927906497
.1664894.129296092..8543176066..1006565794326...74651943281780
.6142099.756671245.77036901078.14930004573317.1774932657426997


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180


FORMULA

Empirical for column k:
k=1: [linear recurrence of order 13]
k=2: [order 23]
k=3: [order 64]


EXAMPLE

Some solutions for n=3 k=4
..0..0..2..2..2....0..1..2..1..2....0..0..0..0..1....0..2..1..0..1
..1..2..1..2..1....2..0..2..2..2....1..2..1..2..2....1..0..2..2..2
..2..2..0..2..0....1..2..1..2..1....2..0..2..2..1....0..2..1..2..1
..0..1..2..1..2....0..2..2..2..0....0..1..2..1..1....1..2..2..0..2


CROSSREFS

Sequence in context: A219131 A236789 A236798 * A236782 A236791 A237060
Adjacent sequences: A237064 A237065 A237066 * A237068 A237069 A237070


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin, Feb 03 2014


STATUS

approved



