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 A240642 T(n,k)=Number of nXk 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order 6
 1, 1, 1, 2, 5, 2, 5, 27, 27, 5, 14, 193, 462, 193, 14, 41, 1391, 7993, 7993, 1391, 41, 122, 10072, 138882, 333308, 138882, 10072, 122, 365, 72941, 2413198, 13897353, 13897353, 2413198, 72941, 365, 1094, 528283, 41931738, 579476701, 1390560136 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ....1........1............2................5...................14 ....1........5...........27..............193.................1391 ....2.......27..........462.............7993...............138882 ....5......193.........7993...........333308.............13897353 ...14.....1391.......138882.........13897353...........1390560136 ...41....10072......2413198........579476701.........139138607313 ..122....72941.....41931738......24162243789.......13922129807222 ..365...528283....728606311....1007486056500.....1393040370960551 .1094..3826157..12660271050...42008844856285...139386826311366370 .3281.27711478.219985006177.1751630302786777.13946966455660995272 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -3*a(n-2) for n>3 k=2: a(n) = 6*a(n-1) +10*a(n-2) -6*a(n-3) -9*a(n-4) for n>6 k=3: a(n) = 14*a(n-1) +54*a(n-2) +82*a(n-3) -14*a(n-4) -54*a(n-5) -81*a(n-6) k=4: [order 14] k=5: [order 31] EXAMPLE Some solutions for n=3 k=4 ..0..1..0..2....0..1..2..0....0..1..2..0....0..1..0..1....0..1..0..1 ..1..0..1..0....1..2..0..1....2..0..3..2....1..2..3..2....1..2..1..2 ..0..2..0..1....3..0..3..2....3..1..2..3....3..1..2..3....2..0..2..1 CROSSREFS Column 1 is A007051(n-2) Sequence in context: A268789 A269920 A240706 * A240774 A198604 A198253 Adjacent sequences:  A240639 A240640 A240641 * A240643 A240644 A240645 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 09 2014 STATUS approved

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Last modified June 4 01:54 EDT 2020. Contains 334812 sequences. (Running on oeis4.)