A235305 Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

518, 1106, 2118, 5042, 10790, 27602, 64326, 172658, 428198, 1187666, 3077958, 8734322, 23346470, 67327442, 183958086, 536636018, 1489810598, 4381851986, 12310550598, 36420793202, 103261907750, 306776867282, 876096133446

Offset

1,1

Comments

Column 3 of A235310.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) +25*a(n-2) -112*a(n-3) -231*a(n-4) +1260*a(n-5) +875*a(n-6) -7280*a(n-7) -224*a(n-8) +22736*a(n-9) -7980*a(n-10) -36288*a(n-11) +21456*a(n-12) +23040*a(n-13) -17280*a(n-14).

Example

Some solutions for n=5:
  0 3 0 2     5 2 5 1     3 0 4 0     1 4 1 4     5 1 5 1
  5 2 5 1     2 5 2 4     0 3 1 3     5 2 5 2     1 3 1 3
  0 3 0 2     4 1 4 0     4 1 5 1     0 3 0 3     5 1 5 1
  5 2 5 1     0 3 0 2     0 3 1 3     5 2 5 2     2 4 2 4
  0 3 0 2     4 1 4 0     3 0 4 0     2 5 2 5     5 1 5 1
  5 2 5 1     0 3 0 2     2 5 3 5     4 1 4 1     0 2 0 2

Crossrefs

Sequence in context: A116013 A225913 A233054 * A253308 A043380 A345578

Adjacent sequences: A235302 A235303 A235304 * A235306 A235307 A235308

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved