A235184 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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

13736, 27080, 52328, 112432, 236376, 540368, 1204056, 2877232, 6679048, 16488928, 39445720, 99822000, 244423864, 630666960, 1573863272, 4125440160, 10464500824, 27797234032, 71547566680, 192285485520, 501651854792, 1362516822208

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..187

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 1 5 1 4 1 4      3 1 3 0 2 0 2      1 5 2 5 2 5 1
  3 5 4 5 3 5 3      1 4 1 3 0 3 0      4 3 5 3 5 3 4
  4 1 5 1 4 1 4      3 1 3 0 2 0 2      0 4 1 4 1 4 0
  2 4 3 4 2 4 2      2 5 2 4 1 4 1      2 1 3 1 3 1 2
  4 1 5 1 4 1 4      4 2 4 1 3 1 3      1 5 2 5 2 5 1

Crossrefs

Column 6 of A235186.

Sequence in context: A205259 A370504 A370503 * A270639 A031807 A119730

Adjacent sequences: A235181 A235182 A235183 * A235185 A235186 A235187

Keyword

nonn

Author

R. H. Hardin, Jan 04 2014

Status

approved