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 A280362 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards. 5
 1, 2, 2, 4, 9, 4, 11, 50, 50, 11, 30, 285, 571, 285, 30, 82, 1617, 6727, 6727, 1617, 82, 224, 9188, 78800, 164326, 78800, 9188, 224, 612, 52193, 924579, 3992071, 3992071, 924579, 52193, 612, 1672, 296511, 10844773, 97147710, 201054068, 97147710 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.......2...........4.............11...............30................82 ....2.......9..........50............285.............1617..............9188 ....4......50.........571...........6727............78800............924579 ...11.....285........6727.........164326..........3992071..........97147710 ...30....1617.......78800........3992071........201054068.......10144351660 ...82....9188......924579.......97147710......10144351660.....1061399606602 ..224...52193....10844773.....2363431872.....511688896140...111020011111453 ..612..296511...127214104....57503068637...25812250379197.11613529410292966 .1672.1684466..1492251709..1399048151083.1302084964081326 .4568.9569425.17504551617.34038954765446 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) for n>4 k=2: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4) for n>5 k=3: [order 12] k=4: [order 44] EXAMPLE Some solutions for n=4 k=4 ..0..1..2..1. .0..0..1..2. .0..1..2..0. .0..1..2..0. .0..1..0..2 ..0..2..1..0. .1..2..0..2. .0..2..1..2. .1..0..2..1. .0..2..1..2 ..1..0..0..1. .2..1..2..1. .1..1..2..1. .0..2..0..1. .2..1..2..1 ..0..2..2..1. .0..1..2..0. .0..0..1..0. .0..1..1..0. .2..0..2..1 CROSSREFS Column 1 is A021006(n-3). Column 2 is A231413(n-1). Sequence in context: A176159 A280859 A280961 * A241130 A019822 A322765 Adjacent sequences: A280359 A280360 A280361 * A280363 A280364 A280365 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 01 2017 STATUS approved

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Last modified December 7 01:49 EST 2023. Contains 367616 sequences. (Running on oeis4.)