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 A233989 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal 9
 56, 236, 236, 976, 1540, 976, 4064, 9632, 9632, 4064, 16880, 62040, 92320, 62040, 16880, 70176, 393396, 914000, 914000, 393396, 70176, 291648, 2520604, 8950496, 14319916, 8950496, 2520604, 291648, 1212224, 16042420, 88388464, 218943540 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......56.......236........976.........4064..........16880............70176 .....236......1540.......9632........62040.........393396..........2520604 .....976......9632......92320.......914000........8950496.........88388464 ....4064.....62040.....914000.....14319916......218943540.......3423714364 ...16880....393396....8950496....218943540.....5240298896.....128552152496 ...70176...2520604...88388464...3423714364...128552152496....5022726159372 ..291648..16042420..869143232..52813238148..3112596618224..191944315497416 .1212224.102569896.8570819600.823369058112.76199608327632.7487035849093952 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +8*a(n-2) +4*a(n-3) k=2: [order 13] k=3: [order 25] k=4: [order 78] EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1..0....0..1..3..4..2....0..2..3..1..3....0..1..0..2..4 ..1..3..1..3..1....2..0..1..3..1....1..0..2..0..2....1..3..2..3..2 ..2..4..3..2..0....3..1..3..2..3....3..2..3..2..3....2..1..3..1..3 ..1..3..1..0..1....2..0..1..0..1....1..0..1..0..2....4..3..4..3..4 CROSSREFS Sequence in context: A325306 A193428 A179757 * A233982 A234769 A234762 Adjacent sequences:  A233986 A233987 A233988 * A233990 A233991 A233992 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 18 2013 STATUS approved

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Last modified May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)