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A235082
Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
1
202, 418, 830, 1758, 3610, 7810, 16390, 36014, 76770, 170682, 368326, 826742, 1802794, 4080058, 8981550, 20478862, 45484138, 104423170, 233911958, 540447918, 1220542066, 2836640986, 6456060310, 15085064246, 34583105082, 81197167002
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +9*a(n-2) -78*a(n-3) +12*a(n-4) +462*a(n-5) -368*a(n-6) -1304*a(n-7) +1433*a(n-8) +1841*a(n-9) -2237*a(n-10) -1346*a(n-11) +1420*a(n-12) +604*a(n-13) -300*a(n-14) -120*a(n-15).
EXAMPLE
Some solutions for n=5:
2 4 2 4 1 2 1 4 4 2 4 1 0 3 1 2 2 1 3 0
3 1 3 1 3 0 3 2 2 4 2 3 3 2 4 1 0 3 1 2
1 3 1 3 1 2 1 4 3 1 3 0 1 4 2 3 2 1 3 0
3 1 3 1 4 1 4 3 0 2 0 1 2 1 3 0 0 3 1 2
1 3 1 3 1 2 1 4 3 1 3 0 0 3 1 2 3 2 4 1
2 0 2 0 3 0 3 2 0 2 0 1 2 1 3 0 1 4 2 3
CROSSREFS
Column 3 of A235087.
Sequence in context: A066130 A067335 A356881 * A260280 A252993 A252987
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 03 2014
STATUS
approved