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A278676 T(n,k)=Number of nXk 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. 8
0, 1, 1, 4, 8, 4, 10, 33, 33, 10, 20, 99, 158, 99, 20, 35, 245, 579, 579, 245, 35, 56, 532, 1801, 2650, 1801, 532, 56, 84, 1050, 4999, 10584, 10584, 4999, 1050, 84, 120, 1926, 12727, 38848, 55854, 38848, 12727, 1926, 120, 165, 3333, 30218, 134265, 280616 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Table starts
...0....1......4......10........20.........35...........56.............84
...1....8.....33......99.......245........532.........1050...........1926
...4...33....158.....579......1801.......4999........12727..........30218
..10...99....579....2650.....10584......38848.......134265.........441349
..20..245...1801...10584.....55854.....280616......1378241........6654535
..35..532...4999...38848....280616....1998526.....14437336......106388729
..56.1050..12727..134265...1378241...14437336....157706284.....1809189550
..84.1926..30218..441349...6654535..106388729...1809189550....32788533228
.120.3333..67651.1384443..31404174..791018703..21622163723...632621335872
.165.5500.143936.4148373.143558071.5827280865.263667893290.12823358704308
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = (1/6)*n^3 - (1/6)*n
k=2: [polynomial of degree 6]
k=3: [polynomial of degree 11]
k=4: [polynomial of degree 20]
k=5: [polynomial of degree 37]
k=6: [polynomial of degree 70]
EXAMPLE
Some solutions for n=4 k=4
..0..0..1..0. .0..1..0..0. .1..1..0..0. .0..0..1..0. .0..0..0..0
..1..0..1..1. .0..1..1..0. .0..0..0..0. .1..1..0..0. .0..1..1..0
..1..1..0..1. .1..0..0..1. .0..0..1..0. .1..1..1..0. .0..1..1..1
..1..1..1..1. .1..0..1..1. .1..0..1..1. .1..1..1..1. .1..1..1..0
CROSSREFS
Column 1 is A000292(n-1).
Sequence in context: A141402 A276619 A145900 * A010298 A196177 A059159
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 25 2016
STATUS
approved

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Last modified May 21 07:02 EDT 2024. Contains 372729 sequences. (Running on oeis4.)