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 A302415 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 1, 2, 2, 4, 8, 4, 8, 17, 25, 8, 16, 37, 30, 81, 16, 32, 78, 66, 120, 264, 32, 64, 169, 142, 259, 441, 857, 64, 128, 361, 289, 698, 994, 1431, 2785, 128, 256, 778, 599, 1650, 3553, 3548, 4754, 9050, 256, 512, 1673, 1268, 3655, 11998, 16123, 12442, 16423, 29407, 512, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2.....4......8......16.......32........64........128.........256 ...2.....8....17.....37......78......169.......361........778........1673 ...4....25....30.....66.....142......289.......599.......1268........2660 ...8....81...120....259.....698.....1650......3655.......8544.......20246 ..16...264...441....994....3553....11998.....33596......98387......295578 ..32...857..1431...3548...16123....84581....306064....1137414.....4669030 ..64..2785..4754..12442...69537...518736...2342685...10963076....58365289 .128..9050.16423..46066..318944..3464956..20184979..119713006...845708279 .256.29407.55848.166341.1443006.23154338.170625048.1280996808.12137387233 LINKS R. H. Hardin, Table of n, a(n) for n = 1..288 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 13] k=4: [order 31] for n>33 k=5: [order 66] for n>73 Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -2*a(n-4) +4*a(n-5) for n>6 n=3: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -4*a(n-4) +a(n-5) for n>9 n=4: [order 16] for n>21 n=5: [order 31] for n>39 n=6: [order 79] for n>86 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..1..0..1. .0..1..0..1. .0..0..1..1. .0..1..0..1 ..1..0..0..1. .0..0..0..1. .0..0..1..1. .0..0..1..0. .1..0..1..0 ..1..0..1..0. .1..1..0..1. .0..1..0..1. .1..1..1..0. .1..0..1..0 ..1..1..1..0. .0..1..1..0. .0..1..1..1. .1..0..1..0. .1..0..1..0 ..0..0..1..0. .0..1..0..1. .1..1..0..0. .1..0..1..1. .0..1..0..1 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240478. Row 1 is A000079(n-1). Row 2 is A281470. Sequence in context: A339490 A281469 A302623 * A303182 A302322 A303016 Adjacent sequences:  A302412 A302413 A302414 * A302416 A302417 A302418 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 07 2018 STATUS approved

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Last modified August 16 23:53 EDT 2022. Contains 356169 sequences. (Running on oeis4.)