A235183 Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

4656, 9780, 19952, 45128, 99096, 236376, 545768, 1351904, 3234336, 8236464, 20235512, 52632200, 132063816, 349337952, 892241120, 2393564720, 6209733240, 16862423016, 44373812264, 121811965088, 324794526624, 900449967888

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +41*a(n-2) -177*a(n-3) -709*a(n-4) +3405*a(n-5) +6658*a(n-6) -37423*a(n-7) -35857*a(n-8) +259792*a(n-9) +100713*a(n-10) -1189883*a(n-11) -44519*a(n-12) +3652705*a(n-13) -650588*a(n-14) -7506845*a(n-15) +2237158*a(n-16) +10206566*a(n-17) -3478912*a(n-18) -9024208*a(n-19) +2879248*a(n-20) +5075680*a(n-21) -1279200*a(n-22) -1728912*a(n-23) +283680*a(n-24) +319968*a(n-25) -24192*a(n-26) -24192*a(n-27).

Example

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

Crossrefs

Column 5 of A235186.

Sequence in context: A122713 A235235 A118815 * A069646 A159220 A020422

Adjacent sequences: A235180 A235181 A235182 * A235184 A235185 A235186

Keyword

nonn

Author

R. H. Hardin, Jan 04 2014

Status

approved