A235195 Number of (n+1) X (5+1) 0..6 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).

26040, 51144, 105208, 261760, 652872, 1816160, 4984584, 14642048, 42396520, 129109408, 388285560, 1219307472, 3787652568, 12248095088, 39214260632, 130482679984, 429827182856, 1469472591104, 4968212761480, 17405604121408

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..120

Formula

Empirical: a(n) = 9*a(n-1) +57*a(n-2) -731*a(n-3) -878*a(n-4) +26304*a(n-5) -15900*a(n-6) -552844*a(n-7) +899723*a(n-8) +7521105*a(n-9) -18125633*a(n-10) -69122561*a(n-11) +220983779*a(n-12) +431291855*a(n-13) -1831340243*a(n-14) -1746606119*a(n-15) +10803108780*a(n-16) +3716404250*a(n-17) -46315168788*a(n-18) +2550194940*a(n-19) +145490417695*a(n-20) -46954531755*a(n-21) -335197745077*a(n-22) +166429786799*a(n-23) +564880422518*a(n-24) -334400168840*a(n-25) -694120308016*a(n-26) +424547635156*a(n-27) +620744392928*a(n-28) -343613520080*a(n-29) -401608244880*a(n-30) +170947437904*a(n-31) +182786646240*a(n-32) -46865973504*a(n-33) -54609655680*a(n-34) +4665398976*a(n-35) +9369063936*a(n-36) +551978496*a(n-37) -679311360*a(n-38) -113218560*a(n-39).

Example

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

Crossrefs

Column 5 of A235198.

Sequence in context: A238043 A236599 A326931 * A235740 A236080 A115494

Adjacent sequences: A235192 A235193 A235194 * A235196 A235197 A235198

Keyword

nonn

Author

R. H. Hardin, Jan 04 2014

Status

approved