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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 August 3 15:40 EDT 2020. Contains 336200 sequences. (Running on oeis4.)