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 A238929 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors 12
 12, 116, 36, 782, 864, 144, 5008, 13090, 13456, 540, 34302, 191086, 611524, 176224, 2052, 238418, 3025468, 25080064, 22636472, 2391340, 7776, 1646042, 48511734, 1176627204, 2531484558, 873385842, 32225410, 29484, 11326068, 773430790 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....12........116............782...............5008..................34302 .....36........864..........13090.............191086................3025468 ....144......13456.........611524...........25080064.............1176627204 ....540.....176224.......22636472.........2531484558...........330899764092 ...2052....2391340......873385842.......265992385206.........98434762200590 ...7776...32225410....33476445936.....27816714540010......29028870095730324 ..29484..434883190..1285018853980...2912187511240098....8576772023696061986 .111780.5866480970.49292627209040.304661966072695432.2532114793289297959122 LINKS R. H. Hardin, Table of n, a(n) for n = 1..83 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) +3*a(n-2) k=2: [order 29] Empirical for row n: n=1: [linear recurrence of order 18] EXAMPLE Some solutions for n=2 k=4 ..1..2..2..2..1....0..0..1..1..0....0..0..0..3..3....0..0..2..3..3 ..3..3..1..0..0....2..2..2..3..3....1..1..2..2..1....2..2..0..0..0 ..1..2..2..3..3....0..1..1..0..0....0..3..3..3..0....0..1..3..3..2 CROSSREFS Sequence in context: A307820 A154247 A016204 * A166777 A027285 A238930 Adjacent sequences:  A238926 A238927 A238928 * A238930 A238931 A238932 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 07 2014 STATUS approved

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Last modified September 20 07:32 EDT 2021. Contains 347577 sequences. (Running on oeis4.)