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 A317764 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
 1, 2, 2, 4, 6, 4, 8, 10, 10, 8, 16, 20, 16, 20, 16, 32, 42, 28, 28, 42, 32, 64, 89, 52, 43, 52, 89, 64, 128, 190, 100, 72, 72, 100, 190, 128, 256, 407, 196, 127, 109, 127, 196, 407, 256, 512, 873, 388, 232, 177, 177, 232, 388, 873, 512, 1024, 1874, 772, 432, 302, 266, 302 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1...2...4...8..16...32...64..128..256..512.1024..2048..4096..8192.16384 ...2...6..10..20..42...89..190..407..873.1874.4024..8642.18561.39866.85627 ...4..10..16..28..52..100..196..388..772.1540.3076..6148.12292.24580.49156 ...8..20..28..43..72..127..232..432..813.1539.2922..5557.10577.20141.38362 ..16..42..52..72.109..177..302..532..955.1733.3164..5796.10637.19541.35918 ..32..89.100.127.177..266..425..709.1217.2126.3753..6666.11882.21223.37952 ..64.190.196.232.302..425..639.1012.1663.2801.4792..8278.14385.25088.43852 .128.407.388.432.532..709.1012.1529.2413.3927.6524.10984.18651.31842.54552 .256.873.772.813.955.1217.1663.2413.3674.5798.9381.15434.25672.43007.72386 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1300 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -a(n-4) for n>6 k=3: a(n) = 3*a(n-1) -2*a(n-2) for n>3 k=4: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) +a(n-5) for n>6 k=5: a(n) = 2*a(n-1) -a(n-4) for n>6 k=6: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) +a(n-7) for n>10 k=7: a(n) = 3*a(n-1) -2*a(n-2) -a(n-4) +a(n-5) -a(n-6) +a(n-7) for n>11 EXAMPLE Some solutions for n=5 k=4 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..1..1..0 ..1..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1. .1..1..0..0 ..1..1..1..1. .0..0..0..0. .0..0..0..0. .0..1..1..1. .1..0..0..0 ..1..1..1..1. .0..0..0..0. .0..0..0..0. .1..1..1..1. .0..0..0..0 ..0..0..0..0. .1..1..1..1. .0..0..0..1. .0..0..0..0. .0..0..0..0 CROSSREFS Column 1 is A000079(n-1). Column 3 is A003461 for n>1. Sequence in context: A220358 A089002 A097089 * A318075 A318343 A318024 Adjacent sequences: A317761 A317762 A317763 * A317765 A317766 A317767 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Aug 06 2018 STATUS approved

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Last modified May 31 11:52 EDT 2023. Contains 363066 sequences. (Running on oeis4.)