A197437 Number of nX3 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors

10, 246, 5032, 98356, 1933358, 37989740, 746250884, 14659367358, 287967404918, 5656823960766, 111122501459806, 2182887521173568, 42880585565696148, 842345101555883176, 16547005149070978968, 325048936455561795752

Offset

1,1

Comments

Column 3 of A197442

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 18*a(n-1) +35*a(n-2) -61*a(n-3) -13*a(n-4) +3117*a(n-5) +3379*a(n-6) +1915*a(n-7) -67360*a(n-8) -241591*a(n-9) -226996*a(n-10) +25375*a(n-11) +737089*a(n-12) +3126672*a(n-13) +3761574*a(n-14) +8031291*a(n-15) +9053025*a(n-16) +7428456*a(n-17) +25883807*a(n-18) +11917914*a(n-19) +14247252*a(n-20) +5335644*a(n-21) -69627357*a(n-22) -48977927*a(n-23) -98422209*a(n-24) -56620180*a(n-25) +67901295*a(n-26) -96860898*a(n-27) +25847034*a(n-28) -67349647*a(n-29) -153324952*a(n-30) +90828708*a(n-31) -117791700*a(n-32) +28167574*a(n-33) +26039914*a(n-34) +9358608*a(n-35) +120580068*a(n-36) +20754360*a(n-37) +34657880*a(n-38) -2770312*a(n-39) -6927312*a(n-40) -404512*a(n-41) -845376*a(n-42) +714752*a(n-43) -98304*a(n-44) -17408*a(n-45) +8192*a(n-46)

Example

Some solutions for n=4
..1..2..2....0..1..0....2..0..0....2..0..2....2..2..0....2..2..0....0..2..1
..2..1..1....2..1..1....0..2..2....1..1..0....0..2..0....1..0..1....2..1..2
..0..0..2....0..2..0....2..0..1....1..0..2....1..2..2....0..1..0....0..0..2
..2..2..0....2..2..0....1..2..2....1..2..0....2..2..0....2..0..2....2..2..0

Crossrefs

Sequence in context: A218307 A249564 A034222 * A268545 A211093 A108792

Adjacent sequences: A197434 A197435 A197436 * A197438 A197439 A197440

Keyword

nonn

Author

R. H. Hardin Oct 15 2011

Status

approved