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 A232309 T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally 8
 1, 3, 3, 7, 37, 7, 15, 257, 257, 15, 33, 1915, 5149, 1915, 33, 73, 14223, 107047, 107047, 14223, 73, 161, 105411, 2245709, 6363511, 2245709, 105411, 161, 355, 781873, 46996227, 382995685, 382995685, 46996227, 781873, 355, 783, 5798587, 983668985 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.........3.............7.................15......................33 ....3........37...........257...............1915...................14223 ....7.......257..........5149.............107047.................2245709 ...15......1915........107047............6363511...............382995685 ...33.....14223.......2245709..........382995685.............66287652717 ...73....105411......46996227........22952606015..........11412010021707 ..161....781873.....983668985......1376103637041........1965722343353835 ..355...5798587...20589521605.....82507009197797......338617181188008457 ..783..43004317..430963205159...4946765617435461....58328939899371775421 .1727.318935945.9020580137409.296587635447682217.10047560921392694812519 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-3) k=2: a(n) = 6*a(n-1) +9*a(n-2) +11*a(n-3) -a(n-4) +16*a(n-5) k=3: [order 15] k=4: [order 33] k=5: [order 91] EXAMPLE Some solutions for n=3 k=4 ..2..1..1..1....2..1..1..2....1..2..0..1....2..0..2..2....1..2..2..1 ..1..2..0..2....1..2..1..1....1..1..2..1....2..1..2..1....0..1..2..1 ..0..2..1..1....1..0..2..0....1..2..1..2....0..0..1..0....1..2..0..2 CROSSREFS Column 1 is A193641 Sequence in context: A191498 A065747 A363398 * A273043 A066142 A232459 Adjacent sequences: A232306 A232307 A232308 * A232310 A232311 A232312 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 22 2013 STATUS approved

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Last modified June 2 22:56 EDT 2023. Contains 363102 sequences. (Running on oeis4.)