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 A302322 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 13
 1, 2, 2, 4, 8, 4, 8, 20, 25, 8, 16, 52, 65, 81, 16, 32, 136, 177, 281, 264, 32, 64, 360, 519, 953, 1144, 857, 64, 128, 960, 1528, 3559, 4525, 4321, 2785, 128, 256, 2576, 4509, 14022, 20686, 19734, 18093, 9050, 256, 512, 6944, 13329, 55727, 104932, 110035 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2......4.......8.......16........32.........64.........128 ...2.....8.....20......52......136.......360........960........2576 ...4....25.....65.....177......519......1528.......4509.......13329 ...8....81....281.....953.....3559.....14022......55727......218945 ..16...264...1144....4525....20686....104932.....529381.....2593409 ..32...857...4321...19734...110035....708572....4521584....27478634 ..64..2785..18093...96956...659949...5542827...45861206...349722102 .128..9050..72746..458537..3834162..41843808..444688101..4252740185 .256.29407.285199.2098489.21619209.305929316.4176914829.49936266116 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) k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4) k=3: [order 14] k=4: [order 48] for n>49 Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) for n>4 n=3: [order 14] for n>15 n=4: [order 57] for n>58 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..1..0..0. .0..1..1..0. .0..0..1..1. .0..1..0..0 ..1..0..0..1. .0..1..1..0. .0..0..1..0. .1..0..0..1. .1..0..1..1 ..0..1..0..1. .0..0..0..0. .1..1..1..0. .1..0..1..0. .1..0..1..0 ..1..1..0..1. .1..0..0..1. .0..0..1..0. .0..1..1..0. .0..1..1..0 ..0..0..1..0. .1..0..0..1. .1..0..1..1. .0..1..1..0. .1..0..0..1 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240478. Row 1 is A000079(n-1). Sequence in context: A302623 A302415 A303182 * A303016 A302820 A303513 Adjacent sequences:  A302319 A302320 A302321 * A302323 A302324 A302325 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 05 2018 STATUS approved

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Last modified November 27 02:53 EST 2021. Contains 349344 sequences. (Running on oeis4.)