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 A212943 T(n,k)=Number of nXk 0..k-1 arrays with no column j greater than or equal to than column j-1 in all rows 14
 1, 1, 1, 1, 7, 1, 1, 181, 37, 1, 1, 10311, 9019, 175, 1, 1, 1016501, 6470341, 331489, 781, 1, 1, 152747323, 10058484751, 2509306671, 10669771, 3367, 1, 1, 32383630189, 28744943858947, 52311221188001, 801439905901, 320396041, 14197, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1...1........1............1..................1........................1 .1...7......181........10311............1016501................152747323 .1..37.....9019......6470341........10058484751...........28744943858947 .1.175...331489...2509306671.....52311221188001......2438624218076957695 .1.781.10669771.801439905901.212180664326328751.153322267564381742818531 LINKS R. H. Hardin, Table of n, a(n) for n = 1..191 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 7*a(n-1) -12*a(n-2) k=3: a(n) = 55*a(n-1) -936*a(n-2) +4860*a(n-3) k=4: a(n) = 631*a(n-1) -144700*a(n-2) +15035200*a(n-3) -702208000*a(n-4) +11468800000*a(n-5) The coefficient of a(n-1) is A209668(k) (through at least k=1..7) EXAMPLE Some solutions for n=4 k=4 ..1..3..2..2....0..0..0..3....1..3..0..1....1..3..2..1....1..3..3..3 ..1..1..2..2....0..1..1..2....0..0..1..0....1..1..0..3....2..3..0..3 ..0..1..3..1....0..2..2..1....0..1..1..3....2..3..3..0....0..2..0..2 ..3..1..0..3....2..1..0..2....3..0..3..1....1..0..3..0....2..0..1..0 CROSSREFS Column 2 is A005061 cf. A212930 Sequence in context: A188644 A331899 A111830 * A174588 A366316 A199001 Adjacent sequences: A212940 A212941 A212942 * A212944 A212945 A212946 KEYWORD nonn,tabl AUTHOR R. H. Hardin May 31 2012 STATUS approved

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Last modified December 8 08:50 EST 2023. Contains 367663 sequences. (Running on oeis4.)