A235182 Number of (n+1) X (4+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).

1696, 3796, 8224, 19584, 45128, 112432, 270056, 694680, 1719360, 4527576, 11467512, 30743168, 79346904, 215790584, 565988848, 1557731960, 4144240488, 11523618144, 31052234856, 87128705240, 237510624832, 671813438520

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

Crossrefs

Column 4 of A235186.

Sequence in context: A325884 A224605 A252570 * A237170 A301985 A237845

Adjacent sequences: A235179 A235180 A235181 * A235183 A235184 A235185

Keyword

nonn

Author

R. H. Hardin, Jan 04 2014

Status

approved