A235317 Number of (n+1) X (6+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).

41216, 71896, 118160, 241600, 459536, 1062832, 2291696, 5805424, 13828496, 37480816, 96320240, 274905520, 748476176, 2225038192, 6336650096, 19467254704, 57471337616, 181369764976, 551385678320, 1778749067440, 5539587136016

Offset

1,1

Comments

Column 6 of A235319

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:
  1 5 1 5 3 5 2      6 1 5 1 5 1 4      0 4 0 6 0 6 0
  3 0 3 0 5 0 4      4 6 3 6 3 6 2      5 2 5 4 5 4 5
  0 4 0 4 2 4 1      5 0 4 0 4 0 3      0 4 0 6 0 6 0
  4 1 4 1 6 1 5      2 4 1 4 1 4 0      6 3 6 5 6 5 6

Crossrefs

Sequence in context: A183667 A188488 A027577 * A294986 A269738 A269737

Adjacent sequences: A235314 A235315 A235316 * A235318 A235319 A235320

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved