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 A186472 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors 10
 81, 83, 83, 277, 129, 277, 367, 243, 243, 367, 966, 562, 942, 562, 966, 1321, 903, 1203, 1203, 903, 1321, 3078, 1754, 3190, 3186, 3190, 1754, 3078, 4553, 2937, 4023, 4875, 4875, 4023, 2937, 4553, 10028, 5790, 9982, 9834, 13278, 9834, 9982, 5790, 10028 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....81....83...277....367....966...1321...3078....4553...10028...15650...32786 ....83...129...243....562....903...1754...2937....5790....9993...19236...33546 ...277...243...942...1203...3190...4023...9982...13985...32390...48553..105436 ...367...562..1203...3186...4875...9834..14883...31866...51057..105398..174289 ...966...903..3190...4875..13278..16083..40626...52755..129102..182841..418022 ..1321..1754..4023...9834..16083..34314..49407..109950..159879..350418..540777 ..3078..2937..9982..14883..40626..49407.136086..170811..431658..564459.1356918 ..4553..5790.13985..31866..52755.109950.170811..399018..570183.1266414.1812423 .10028..9993.32390..51057.129102.159879.431658..570183.1537038.1966755.4790010 .15650.19236.48553.105398.182841.350418.564459.1266414.1966755.4607034.6457959 LINKS R. H. Hardin, Table of n, a(n) for n = 1..473 FORMULA Empirical, for every column: a(n)=2*a(n-1)+a(n-2)-4*a(n-3)+4*a(n-4)-2*a(n-5) for n>k+9 EXAMPLE Some solutions for 4X3 ..1..1..0....2..1..1....2..0..0....2..0..0....0..2..1....0..1..0....2..0..1 ..2..0..1....1..1..0....0..2..0....0..0..0....0..0..2....1..0..1....0..2..0 ..0..2..0....1..0..1....1..0..2....0..0..0....0..0..0....0..1..0....2..0..2 ..2..0..2....0..1..2....0..1..1....2..0..0....1..0..0....0..0..1....0..2..1 CROSSREFS Sequence in context: A177842 A075691 A055390 * A183984 A089784 A186464 Adjacent sequences:  A186469 A186470 A186471 * A186473 A186474 A186475 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 22 2011 STATUS approved

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Last modified June 23 09:00 EDT 2021. Contains 345395 sequences. (Running on oeis4.)