A234679 Number of (n+1) X (6+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

52016, 82956, 129848, 254784, 476648, 1092120, 2354408, 5995464, 14369096, 39500136, 102370088, 298658664, 820046408, 2509815720, 7193968808, 22891730664, 67766851016, 222539436456, 675043564328, 2273371488744

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..68

Formula

Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

Example

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

Crossrefs

Column 6 of A234681.

Sequence in context: A258906 A234181 A031679 * A191303 A291869 A186849

Adjacent sequences: A234676 A234677 A234678 * A234680 A234681 A234682

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved