A235242 Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

906, 3146, 10866, 41246, 152178, 599342, 2282514, 9184758, 35696098, 145885710, 575507682, 2380818854, 9501151026, 39692769950, 159843012210, 673129281462, 2730115908610, 11572454510574, 47201672364546, 201156697569350

Offset

1,1

Comments

Column 2 of A235248.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +74*a(n-2) -1028*a(n-3) -1552*a(n-4) +46036*a(n-5) -24442*a(n-6) -1177460*a(n-7) +1943623*a(n-8) +18929582*a(n-9) -46678364*a(n-10) -197883208*a(n-11) +641672504*a(n-12) +1336005112*a(n-13) -5669843140*a(n-14) -5468829608*a(n-15) +33406180141*a(n-16) +10415153798*a(n-17) -132321704558*a(n-18) +11352730700*a(n-19) +350059155896*a(n-20) -111967629644*a(n-21) -608429901490*a(n-22) +262134791548*a(n-23) +679376121053*a(n-24) -292943901086*a(n-25) -478176518752*a(n-26) +156339289216*a(n-27) +209957565216*a(n-28) -34929735168*a(n-29) -53104170864*a(n-30) +1188145056*a(n-31) +6857059248*a(n-32) +568465632*a(n-33) -342553536*a(n-34) -52700544*a(n-35).

Example

Some solutions for n=4:
  1 5 1   2 4 2   2 4 1   2 4 2   6 7 6   2 3 2   7 3 4
  2 0 2   6 2 6   5 1 4   7 3 7   5 0 5   6 1 6   3 5 0
  0 4 0   3 5 3   1 3 0   2 4 2   1 2 1   3 4 3   7 3 4
  3 1 3   7 3 7   4 0 3   5 1 5   6 1 6   7 2 7   5 7 2
  2 6 2   5 7 5   2 4 1   3 5 3   3 4 3   6 7 6   4 0 1

Crossrefs

Sequence in context: A330284 A330303 A181257 * A270446 A006917 A174862

Adjacent sequences: A235239 A235240 A235241 * A235243 A235244 A235245

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved