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 A208379 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically 10
 2, 4, 4, 6, 16, 6, 10, 36, 36, 8, 16, 100, 72, 64, 10, 26, 256, 240, 108, 100, 12, 42, 676, 704, 420, 144, 144, 14, 68, 1764, 2080, 1344, 640, 180, 196, 16, 110, 4624, 6216, 4212, 2176, 900, 216, 256, 18, 178, 12100, 18496, 13860, 7072, 3200, 1200, 252, 324, 20, 288 (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......288......466 ..4..16..36..100..256...676..1764...4624...12100...31684....82944...217156 ..6..36..72..240..704..2080..6216..18496...55000..163760...487296..1450192 ..8..64.108..420.1344..4212.13860..44880..144540..468852..1517184..4906980 .10.100.144..640.2176..7072.25200..87040..296560.1028128..3545856.12198016 .12.144.180..900.3200.10660.40740.148240..526900.1931300..7015680.25336420 .14.196.216.1200.4416.14976.60984.231744..851400.3276624.12438144.46737936 .16.256.252.1540.5824.20020.86436.340816.1285900.5170900.20393856.79220932 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1463 FORMULA Empirical for column k: k=1: a(n) = 2*n k=2: a(n) = 4*n^2 k=3: a(n) = 36*n - 36 for n>1 k=4: a(n) = 20*n^2 + 40*n - 60 for n>1 k=5: a(n) = 96*n^2 - 32*n - 64 for n>1 k=6: a(n) = 364*n^2 - 416*n + 52 for n>1 k=7: a(n) = 84*n^3 + 840*n^2 - 1344*n + 420 for n>1 Empirical for row n: n=1: a(k)=a(k-1)+a(k-2) n=2: a(k)=2*a(k-1)+2*a(k-2)-a(k-3) n=3: a(k)=a(k-1)+4*a(k-2)+5*a(k-3)+2*a(k-4)-a(k-5)+a(k-6) for k>8 n=4: a(k)=a(k-1)+4*a(k-2)+9*a(k-3)+5*a(k-4)-2*a(k-5)+4*a(k-6) for k>8 n=5: a(k)=a(k-1)+4*a(k-2)+13*a(k-3)+8*a(k-4)-3*a(k-5)+9*a(k-6) for k>8 n=6: a(k)=a(k-1)+4*a(k-2)+17*a(k-3)+11*a(k-4)-4*a(k-5)+16*a(k-6) for k>8 n=7: a(k)=a(k-1)+4*a(k-2)+21*a(k-3)+14*a(k-4)-5*a(k-5)+25*a(k-6) for k>8 EXAMPLE Some solutions for n=4 k=3 ..0..1..0....0..1..1....1..1..0....0..0..1....0..0..1....1..0..1....1..0..0 ..1..1..0....0..1..1....1..1..0....0..1..1....1..0..1....1..1..0....1..0..0 ..1..1..0....0..0..1....1..1..0....0..1..0....0..0..1....0..1..0....1..0..0 ..1..0..0....0..0..1....1..1..0....0..1..0....0..0..1....0..1..0....1..0..0 CROSSREFS Column 1 is A004275(n+1) Column 2 is A016742 Column 3 is A044102(n-1) for n>1 Row 1 is A006355(n+2) Row 2 is A206981 Row 3 is A207840 Sequence in context: A208698 A207928 A207858 * A207453 A208287 A208501 Adjacent sequences: A208376 A208377 A208378 * A208380 A208381 A208382 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 25 2012 STATUS approved

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Last modified May 29 05:33 EDT 2024. Contains 372921 sequences. (Running on oeis4.)