login
A197437
Number of nX3 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 15 2011
STATUS
approved