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 A278627 T(n,k)=Number of nXk 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. 7
 0, 3, 3, 16, 46, 16, 51, 357, 357, 51, 126, 1952, 4754, 1952, 126, 266, 8518, 49503, 49503, 8518, 266, 504, 31605, 439446, 1069536, 439446, 31605, 504, 882, 103546, 3438414, 21121532, 21121532, 3438414, 103546, 882, 1452, 307087, 24103803 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....0......3........16............51..............126.................266 ....3.....46.......357..........1952.............8518...............31605 ...16....357......4754.........49503...........439446.............3438414 ...51...1952.....49503.......1069536.........21121532...........387542112 ..126...8518....439446......21121532........978005050.........43853346948 ..266..31605...3438414.....387542112......43853346948.......4902306226424 ..504.103546..24103803....6594175430....1892563134910.....540194658701142 ..882.307087.153073965..103536313036...77595353266488...58237100230743229 .1452.838936.888863183.1496475492375.2984253200734849.6049936223396297740 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = (1/120)*n^5 + (1/8)*n^4 + (5/24)*n^3 - (1/8)*n^2 - (13/60)*n k=2: [polynomial of degree 15] k=3: [polynomial of degree 43] k=4: [polynomial of degree 125] EXAMPLE Some solutions for n=3 k=4 ..1..1..0..0. .2..2..1..1. .1..1..1..0. .2..1..0..0. .1..2..1..1 ..1..0..1..0. .1..1..2..2. .2..2..2..1. .2..1..1..0. .1..2..2..0 ..2..1..1..2. .2..0..2..2. .2..1..0..1. .0..0..2..2. .2..1..0..1 CROSSREFS Column 1 is A000574(n+1). Sequence in context: A278309 A048234 A127539 * A231908 A226610 A279172 Adjacent sequences:  A278624 A278625 A278626 * A278628 A278629 A278630 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 24 2016 STATUS approved

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Last modified April 19 16:49 EDT 2019. Contains 322282 sequences. (Running on oeis4.)