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 A267562 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or southwest neighbors modulo n and the upper left element equal to 0. 10
 1, 1, 1, 1, 3, 2, 1, 10, 2, 6, 1, 35, 6, 2, 24, 1, 126, 31, 3, 2, 120, 1, 462, 141, 15, 3, 2, 720, 1, 1716, 550, 170, 3, 3, 2, 5040, 1, 6435, 2046, 1614, 55, 3, 3, 2, 40320, 1, 24310, 8149, 11048, 1326, 8, 3, 3, 2, 362880, 1, 92378, 34902, 60954, 27712, 279, 8, 3, 3, 2, 3628800 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ......1.1..1..1...1....1.....1......1........1..........1............1 ......1.3.10.35.126..462..1716...6435....24310......92378.......352716 ......2.2..6.31.141..550..2046...8149....34902.....152001.......652150 ......6.2..3.15.170.1614.11048..60954...299110....1494098......8772195 .....24.2..3..3..55.1326.27712.392186..4032703...32764364....226023332 ....120.2..3..3...8..279.15686.711359.21893719..463755018...7207021169 ....720.2..3..3...8...17..2033.279070.27767384.1883165721..86034010064 ...5040.2..3..3...8...17....76..21772..7353006.1673476119.250936616799 ..40320.2..3..3...8...17....76....424...345843 .362880.2..3..3...8...17....76....424 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..2....0..0..1..2....0..1..2..3....0..1..2..3....0..0..0..0 ..0..1..2..3....0..1..2..3....0..1..2..3....1..2..3..0....3..3..3..3 ..1..2..3..0....1..2..3..3....1..2..3..0....2..3..0..1....2..2..2..2 ..2..3..3..0....1..2..3..0....1..2..3..0....2..3..0..1....1..1..1..1 CROSSREFS Column 1 is A000142(n-1). Diagonal is A267552. Row 2 is A001700(n-1). Row 3 is A267073. Sequence in context: A129964 A267328 A267425 * A267742 A267278 A267019 Adjacent sequences:  A267559 A267560 A267561 * A267563 A267564 A267565 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 17 2016 STATUS approved

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Last modified August 7 10:19 EDT 2022. Contains 355985 sequences. (Running on oeis4.)