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 A265887 T(n,k)=Number of nXk 0..2 arrays with the sum of the absolute differences of each element with its horizontal and vertical neighbors equal to the number of neighbors. 2
 3, 4, 4, 6, 12, 6, 8, 16, 16, 8, 12, 32, 68, 32, 12, 16, 64, 128, 128, 64, 16, 24, 128, 384, 664, 384, 128, 24, 32, 256, 1024, 2048, 2048, 1024, 256, 32, 48, 512, 3072, 8192, 13672, 8192, 3072, 512, 48, 64, 1024, 8192, 32768, 65536, 65536, 32768, 8192, 1024, 64, 96 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..3....4.....6.......8.......12.........16..........24............32 ..4...12....16......32.......64........128.........256...........512 ..6...16....68.....128......384.......1024........3072..........8192 ..8...32...128.....664.....2048.......8192.......32768........131072 .12...64...384....2048....13672......65536......393216.......2097152 .16..128..1024....8192....65536.....560512.....4194304......33554432 .24..256..3072...32768...393216....4194304....51483264.....536870912 .32..512..8192..131072..2097152...33554432...536870912....8726974464 .48.1024.24576..524288.12582912..268435456..6442450944..137438953472 .64.2048.65536.2097152.67108864.2147483648.68719476736.2199023255552 LINKS R. H. Hardin, Table of n, a(n) for n = 1..684 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-2) k=2: a(n) = 2*a(n-1) for n>3 k=3: a(n) = 8*a(n-2) for n>5 k=4: a(n) = 4*a(n-1) for n>5 k=5: a(n) = 32*a(n-2) for n>7 k=6: a(n) = 8*a(n-1) for n>7 k=7: a(n) = 128*a(n-2) for n>9 EXAMPLE Some solutions for n=4 k=4 ..2..1..2..1....0..0..1..0....1..2..1..0....1..2..1..2....2..1..2..1 ..1..2..1..2....2..2..2..1....0..1..2..1....0..1..0..1....1..2..1..0 ..2..1..2..1....1..0..0..2....1..2..1..2....1..2..1..0....0..1..2..1 ..1..2..1..0....2..1..0..2....0..1..0..1....2..1..2..1....1..2..1..0 CROSSREFS Column 1 is A029744(n+2). Sequence in context: A100692 A089640 A086659 * A345264 A344465 A008473 Adjacent sequences:  A265884 A265885 A265886 * A265888 A265889 A265890 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 17 2015 STATUS approved

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Last modified June 27 00:08 EDT 2022. Contains 354888 sequences. (Running on oeis4.)