A278855 -id:A278855 - cp's OEIS frontend

A278849 Number of nX2 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

0, 0, 1, 25, 239, 1486, 7072, 27828, 94720, 287298, 793024, 2023332, 4828941, 10881820, 23327332, 47861324, 94458120, 180072500, 332769135, 597905471, 1047219371, 1791963626, 3001600740, 4930040800, 7951993320, 12612734550

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 2 of A278855.

			Some solutions for n=4
..1..1. .1..1. .0..1. .0..1. .1..1. .0..1. .1..1. .1..1. .1..1. .0..0
..0..1. .0..1. .1..1. .0..0. .0..0. .1..1. .0..1. .0..1. .1..0. .1..1
..1..0. .0..0. .1..0. .1..1. .0..1. .0..1. .1..1. .1..1. .0..1. .0..1
..0..1. .1..1. .0..1. .0..1. .0..0. .0..0. .0..0. .1..0. .0..0. .0..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A278855.

Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (43/958003200)*n^12 + (893/958003200)*n^11 + (863/87091200)*n^10 + (11/358400)*n^9 + (28333/609638400)*n^8 + (32029/87091200)*n^7 + (13219/21772800)*n^6 - (119603/10886400)*n^5 - (291547/59875200)*n^4 + (883781/19958400)*n^3 + (127307/30270240)*n^2 - (467/13860)*n

A278850 Number of nX3 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

0, 1, 66, 1348, 15066, 118158, 731444, 3813048, 17413532, 71497004, 268726051, 936836634, 3059698312, 9435007950, 27642602449, 77344108820, 207567987387, 536252189264, 1337891704776, 3232242731921, 7579822554305, 17290405684287

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 3 of A278855.

			Some solutions for n=4
..1..0..0. .0..1..0. .1..1..0. .0..1..0. .0..1..1. .1..0..1. .0..1..0
..0..0..1. .1..1..0. .0..1..0. .1..1..0. .0..1..0. .0..0..0. .1..0..0
..1..0..0. .1..0..1. .1..0..1. .1..0..0. .0..0..0. .1..1..1. .0..1..0
..0..1..1. .0..0..1. .0..0..1. .0..0..1. .0..1..0. .1..0..0. .0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 27

Cf. A278855.

Empirical polynomial of degree 27 (see link above)

A278851 Number of nX4 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

0, 25, 1348, 30772, 449677, 4950399, 44571591, 344302564, 2353207764, 14536481606, 82424606803, 434031398793, 2141802790067, 9975624305928, 44106878749240, 186005545087412, 751100286992318, 2913746151722174

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 4 of A278855.

			Some solutions for n=4
..1..0..1..0. .1..0..1..0. .1..0..0..1. .0..1..1..1. .0..0..0..1
..1..0..0..0. .0..1..0..1. .0..0..1..0. .0..0..1..1. .1..1..1..1
..1..1..0..1. .1..1..1..0. .0..0..1..1. .1..0..0..0. .1..0..1..1
..0..1..1..1. .1..0..1..0. .1..1..0..0. .1..0..0..0. .1..1..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 52

Cf. A278855.

Empirical polynomial of degree 52 (see link above)

A278852 Number of nX5 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

0, 239, 15066, 449677, 9317846, 154090507, 2167109763, 26799758534, 297417275848, 3004658410735, 27940725989130, 241350612592135, 1951440294582041, 14865802497447044, 107290958051308517

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 5 of A278855.

			Some solutions for n=3
..1..0..0..1..0. .1..1..0..1..0. .0..0..0..1..1. .1..1..0..0..0
..1..0..0..0..1. .0..1..0..1..1. .1..1..1..1..0. .0..1..0..1..0
..1..0..1..1..1. .1..1..1..1..0. .0..0..1..1..0. .1..1..1..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 101

Cf. A278855.

Empirical polynomial of degree 101 (see link above)

A278853 Number of nX6 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

1, 1486, 118158, 4950399, 154090507, 4026240722, 92891826961, 1935392159582, 36831668321915, 644951602341507, 10454319538089429, 157736949429737228, 2227039251935175027, 29569631792451694669, 370951068728197563294

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 6 of A278855.

			Some solutions for n=3
..1..1..0..0..1..0. .0..1..1..1..0..1. .1..0..0..0..1..1. .0..0..0..0..0..1
..0..0..0..1..1..0. .1..0..0..1..0..0. .1..1..1..0..1..0. .0..0..0..0..1..1
..1..0..1..0..0..0. .1..1..0..1..1..0. .0..0..1..0..0..0. .1..0..0..1..0..1

R. H. Hardin, Table of n, a(n) for n = 1..153

Cf. A278855.

A278854 Number of nX7 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

8, 7072, 731444, 44571591, 2167109763, 92891826961, 3637198028018, 131770344218055, 4438698421228261, 139356074010503663, 4085772882929981162, 112111211337670010640, 2886455827088580869876, 69931800720183748326477

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Column 7 of A278855.

			Some solutions for n=2
..1..0..1..1..1..1..0. .0..1..0..0..0..0..0. .0..1..1..0..1..1..1
..1..0..0..0..0..1..1. .0..0..1..1..0..1..1. .1..0..1..0..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..83

Cf. A278855.

A278848 Number of n X n 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Original entry on oeis.org

0, 0, 66, 30772, 9317846, 4026240722, 3637198028018, 8472288445687482, 56864856173457018228, 1168082099198500119983316

Offset: 1

R. H. Hardin, Nov 29 2016

nonn

Diagonal of A278855.

			Some solutions for n=4
..1..1..1..0. .1..1..0..0. .1..0..1..1. .1..1..1..0. .1..1..1..0
..1..0..1..1. .1..1..0..0. .0..1..1..0. .1..0..1..1. .1..1..0..1
..0..0..0..0. .0..1..0..1. .0..0..0..1. .0..0..1..1. .1..0..0..1
..1..0..1..0. .1..0..1..0. .0..1..1..1. .1..1..1..0. .0..1..1..1

Cf. A278855.

cp's OEIS Frontend

A278849 Number of nX2 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A278850 Number of nX3 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A278851 Number of nX4 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A278852 Number of nX5 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A278853 Number of nX6 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A278854 Number of nX7 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A278848 Number of n X n 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

Views

Author

Keywords

Comments

Examples

Crossrefs