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 A281837 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. 8
 1, 2, 2, 4, 8, 4, 8, 31, 31, 8, 16, 121, 163, 121, 16, 32, 472, 926, 926, 472, 32, 64, 1841, 5315, 8240, 5315, 1841, 64, 128, 7181, 30387, 74240, 74240, 30387, 7181, 128, 256, 28010, 174121, 663300, 1053407, 663300, 174121, 28010, 256, 512, 109255, 998069 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1......2........4..........8...........16.............32................64 ...2......8.......31........121..........472...........1841..............7181 ...4.....31......163........926.........5315..........30387............174121 ...8....121......926.......8240........74240.........663300...........5954670 ..16....472.....5315......74240......1053407.......14783996.........208837689 ..32...1841....30387.....663300.....14783996......324602161........7184856176 ..64...7181...174121....5954670....208837689.....7184856176......249711414322 .128..28010...998069...53530609...2957076233...159608206156.....8720904906157 .256.109255..5720443..481128867..41858516870..3543794795757...304343654274741 .512.426157.32788987.4324987861.592613243866.78695552108964.10622958299884002 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) +3*a(n-2) +2*a(n-3) k=3: [order 7] for n>8 k=4: [order 23] for n>24 k=5: [order 97] for n>99 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1. .0..1..1..0. .0..1..1..0. .0..1..0..1. .0..0..0..1 ..0..0..0..0. .0..1..0..0. .0..0..1..0. .0..1..0..1. .0..1..0..0 ..1..1..1..0. .0..1..0..1. .1..0..1..0. .1..1..0..1. .0..1..1..1 ..1..0..0..0. .1..1..0..1. .1..1..1..0. .0..0..0..0. .1..0..1..0 CROSSREFS Column 1 is A000079(n-1). Sequence in context: A317004 A316822 A317572 * A299081 A299844 A299001 Adjacent sequences: A281834 A281835 A281836 * A281838 A281839 A281840 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 31 2017 STATUS approved

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Last modified March 24 14:39 EDT 2023. Contains 361479 sequences. (Running on oeis4.)