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 A208287 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically 10
 2, 4, 4, 6, 16, 6, 10, 36, 36, 8, 16, 100, 102, 64, 10, 26, 256, 378, 216, 100, 12, 42, 676, 1260, 984, 390, 144, 14, 68, 1764, 4374, 3984, 2090, 636, 196, 16, 110, 4624, 14946, 16872, 9900, 3900, 966, 256, 18, 178, 12100, 51384, 70216, 49130, 21096, 6650, 1392 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...4....6....10....16.....26......42.......68.......110........178 ..4..16...36...100...256....676....1764.....4624.....12100......31684 ..6..36..102...378..1260...4374...14946....51384....176238.....605022 ..8..64..216...984..3984..16872...70216...294192...1229400....5142728 .10.100..390..2090..9900..49130..239490..1175440...5754050...28195750 .12.144..636..3900.21096.119580..665892..3733080..20874900..116842500 .14.196..966..6650.40376.256774.1604862.10095932..63357434..397965218 .16.256.1392.10608.71360.502416.3478160.24229696.168399632.1171405168 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1106 FORMULA Empirical for column k: k=1: a(n) = 2*n k=2: a(n) = 4*n^2 k=3: a(n) = 2*n^3 + 6*n^2 - 2*n k=4: a(n) = (4/3)*n^4 + 10*n^3 + (2/3)*n^2 - 2*n k=5: a(n) = (5/6)*n^5 + 9*n^4 + (91/6)*n^3 - 9*n^2 k=6: a(n) = (8/15)*n^6 + (23/3)*n^5 + (82/3)*n^4 + (1/3)*n^3 - (178/15)*n^2 + 2*n k=7: a(n) = (61/180)*n^7 + (121/20)*n^6 + (1157/36)*n^5 + (425/12)*n^4 - (2923/90)*n^3 - (22/15)*n^2 + 2*n EXAMPLE Some solutions for n=4 k=3 ..0..1..0....1..1..1....1..0..0....0..1..0....1..1..1....1..0..0....0..1..1 ..1..0..1....1..1..0....0..1..0....0..1..1....1..0..1....0..1..1....1..1..0 ..1..1..1....1..1..0....1..0..0....0..1..1....1..1..1....0..1..0....1..1..1 ..1..1..1....1..1..0....0..1..0....0..1..1....1..1..1....0..1..1....1..1..0 CROSSREFS Column 2 is A016742 Column 3 is A086113 Row 1 is A006355(n+2) Row 2 is A206981 Row 3 is A060521 Sequence in context: A207858 A208379 A207453 * A208501 A207589 A208069 Adjacent sequences:  A208284 A208285 A208286 * A208288 A208289 A208290 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 25 2012 STATUS approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)