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A183972
Half the number of (n+1)X2 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one.
1
128, 992, 7688, 64976, 549152, 4780976, 41623688, 366310352, 3223723808, 28480830608, 251621342408, 2226098835920, 19694339040800, 174322195009040, 1542993019964552, 13660022569173968, 120931341993127712
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OFFSET
1,1
COMMENTS
Column 1 of
A183976
LINKS
Ron Hardin,
Table of n, a(n) for n = 1..200
FORMULA
Empirical: a(n)=10*a(n-1)-96*a(n-3)+669*a(n-4)-6162*a(n-5)+3936*a(n-6)+20976*a(n-7)-24228*a(n-8)+291240*a(n-9)-94464*a(n-10)-1024704*a(n-11)+385344*a(n-12)-24192*a(n-13)+912384*a(n-15)-331776*a(n-16)
EXAMPLE
Some solutions for 3X2
..0..2....1..1....2..0....2..2....0..1....3..1....3..0....3..3....0..1....1..2
..2..0....0..0....0..2....3..2....2..3....3..1....3..0....1..2....1..2....1..3
..1..2....0..3....1..1....3..2....0..2....3..1....1..2....3..2....0..1....1..1
...
...4.......2.......4.......9.......6.......8.......6.......9.......4.......7...
...5.......3.......4......10.......7.......8.......6.......8.......4.......6...
CROSSREFS
Sequence in context:
A188704
A297344
A183976
*
A143708
A130813
A206278
Adjacent sequences:
A183969
A183970
A183971
*
A183973
A183974
A183975
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Jan 08 2011
STATUS
approved
