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 A278363 T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake. 8
 0, 1, 1, 4, 6, 4, 10, 27, 27, 10, 20, 96, 142, 96, 20, 35, 281, 701, 701, 281, 35, 56, 708, 3183, 4872, 3183, 708, 56, 84, 1590, 12875, 34038, 34038, 12875, 1590, 84, 120, 3264, 46236, 229887, 366982, 229887, 46236, 3264, 120, 165, 6237, 149099, 1429751 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...0.....1.......4........10..........20............35...............56 ...1.....6......27........96.........281...........708.............1590 ...4....27.....142.......701........3183.........12875............46236 ..10....96.....701......4872.......34038........229887..........1429751 ..20...281....3183.....34038......366982.......4058169.........44208465 ..35...708...12875....229887.....4058169......72941420.......1349344763 ..56..1590...46236...1429751....44208465....1349344763......41820621848 ..84..3264..149099...8023290...451571539...24833319003....1335072188627 .120..6237..438091..40628537..4213513472..434369879650...42737962734110 .165.11242.1188762.187182375.35702217342.7020524920612.1315545171895930 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = (1/6)*n^3 - (1/6)*n k=2: [polynomial of degree 7] k=3: [polynomial of degree 15] k=4: [polynomial of degree 31] k=5: [polynomial of degree 63] k=6: [polynomial of degree 127] EXAMPLE Some solutions for n=4 k=4 ..0..1..1..1. .0..1..1..1. .0..1..1..1. .0..0..1..1. .0..0..1..1 ..1..0..0..1. .0..1..1..1. .1..0..0..1. .1..0..0..0. .0..0..0..1 ..1..1..1..1. .0..0..1..1. .0..0..0..1. .1..0..0..0. .0..0..1..0 ..0..0..1..0. .1..0..0..1. .1..0..0..0. .1..1..0..0. .0..1..1..1 CROSSREFS Column 1 is A000292(n-1). Sequence in context: A277278 A328722 A143521 * A123969 A255679 A019188 Adjacent sequences:  A278360 A278361 A278362 * A278364 A278365 A278366 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 19 2016 STATUS approved

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Last modified June 27 19:07 EDT 2022. Contains 354897 sequences. (Running on oeis4.)