A278385 -id:A278385 - cp's OEIS frontend

A278383 Number of nX6 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

1, 1350, 100807, 4703562, 179716850, 6204309386, 198563803019, 5851197688577, 157794170262819, 3912513274701995, 90233123783207419, 1960361831058212555, 40518771843257636636, 801152317698519068308, 15177259705860270641696

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 6 of A278385.

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

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

Cf. A278385.

A278379 Number of n X 2 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

0, 0, 3, 40, 267, 1350, 5936, 23565, 84912, 278422, 835824, 2316601, 5980937, 14503972, 33282396, 72732358, 152195016, 306378420, 595704701, 1122541470, 2056128263, 3670127802, 6398217740, 10915088955, 18252749400, 29965289850

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 2 of A278385.

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

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

Cf. A278385.

Empirical: a(n) = (1/1307674368000)*n^15 + (1/12454041600)*n^14 + (149/37362124800)*n^13 + (31/319334400)*n^12 + (1517/1306368000)*n^11 + (169/87091200)*n^10 - (73537/1828915200)*n^9 - (3971/87091200)*n^8 + (2939219/653184000)*n^7 + (521/2419200)*n^6 - (1516673/44906400)*n^5 - (19007/59875200)*n^4 + (351393113/4540536000)*n^3 + (3149/21621600)*n^2 - (5/104)*n.

A278380 Number of nX3 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

0, 3, 74, 1220, 12910, 100807, 652343, 3750182, 19784428, 96786947, 439906101, 1859501560, 7328752206, 27039030100, 93829708460, 307762056698, 958683800155, 2848583303210, 8105942966932, 22169003715353, 58456685214757

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 3 of A278385.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 31

Cf. A278385.

Empirical polynomial of degree 31 (see link above)

A278381 Number of nX4 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

0, 40, 1220, 23640, 368421, 4703562, 50473056, 474255829, 4047341159, 32112086692, 239321493757, 1678998378973, 11080464577870, 68753466828933, 401430915176013, 2209957957528646, 11503598362204972, 56799460197673429

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 4 of A278385.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 63

Cf. A278385.

Empirical polynomial of degree 63 (see link above)

A278382 Number of nX5 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

0, 267, 12910, 368421, 8632118, 179716850, 3325788157, 54735436424, 813247916326, 11132424779200, 142827255320422, 1735129660080135, 20034300716422826, 219810810847095930, 2288305542134926763

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 5 of A278385.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical polynomial of degree 127

Cf. A278385.

Empirical polynomial of degree 127 (see link above)

A278384 Number of nX7 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

8, 5936, 652343, 50473056, 3325788157, 198563803019, 11105331450864, 586395701904408, 29015321337746085, 1335864857344408243, 57236190892283185233, 2296849324984530935992, 87126825773953105905476

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Column 7 of A278385.

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

R. H. Hardin, Table of n, a(n) for n = 1..79

Cf. A278385.

A278378 Number of n X n 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

Original entry on oeis.org

0, 0, 74, 23640, 8632118, 6204309386, 11105331450864, 55821544343692020, 843729327193891754770, 40033544602806238643588014

Offset: 1

R. H. Hardin, Nov 20 2016

nonn

Diagonal of A278385.

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

Cf. A278385.

cp's OEIS Frontend

A278383 Number of nX6 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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A278379 Number of n X 2 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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A278380 Number of nX3 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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A278381 Number of nX4 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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A278382 Number of nX5 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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A278384 Number of nX7 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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Author

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Comments

Examples

Links

Crossrefs

A278378 Number of n X n 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes.

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Author

Keywords

Comments

Examples

Crossrefs