cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A278628 Number of nX2 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

0, 13, 285, 3354, 27521, 175881, 932205, 4266912, 17344954, 63898594, 216606040, 683599110, 2027209742, 5691010421, 15216367989, 38944866772, 95817126997, 227430633270, 522402290790, 1164311022921, 2523775686270, 5331359865045
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 2 of A278634.

Examples

			Some solutions for n=4
..2..0. .0..0. .0..1. .0..1. .1..0. .2..1. .1..2. .2..2. .1..1. .1..0
..1..2. .1..2. .2..2. .1..2. .2..0. .1..0. .0..0. .0..1. .0..1. .0..2
..2..2. .2..1. .0..1. .2..1. .1..1. .0..0. .1..1. .1..2. .0..2. .0..0
..0..0. .1..0. .2..1. .0..0. .0..1. .2..0. .2..2. .2..2. .1..1. .1..2
		

Crossrefs

Cf. A278634.

Formula

Empirical: a(n) = (1/620448401733239439360000)*n^24 + (1/2248001455555215360000)*n^23 + (61/1037539133333176320000)*n^22 + (23/4644631106519040000)*n^21 + (104341/350337889177436160000)*n^20 + (6949/512189896458240000)*n^19 + (710713/1466725612584960000)*n^18 + (37298267/2688996956405760000)*n^17 + (2447539049/7592461994557440000)*n^16 + (3869390387/632705166213120000)*n^15 + (564645080393/5965505852866560000)*n^14 + (32796029107/27618082652160000)*n^13 + (996499793624389/83517081940131840000)*n^12 + (59819000678947/632705166213120000)*n^11 + (84816399097571/146008884510720000)*n^10 + (428014613650991/158176291553280000)*n^9 + (1006691142411629/104766115184640000)*n^8 + (827938404705089/32011868528640000)*n^7 + (70267771340481037/1419192838103040000)*n^6 + (7292384715686149/118266069841920000)*n^5 + (279991448485477/7227370934784000)*n^4 - (11564797442491/361368546739200)*n^3 - (14612582504501/148419224553600)*n^2 - (71459/1225224)*n

A278629 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

1, 285, 10824, 234484, 3739008, 48592635, 541463431, 5325263364, 47098291840, 379621129293, 2817194942225, 19407777240447, 124964309624036, 756392815286668, 4325156175914066, 23464134450391209, 121221027131246039
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 3 of A278634.

Examples

			Some solutions for n=3
..1..2..1. .2..0..2. .1..0..2. .2..0..1. .2..0..0. .2..2..1. .0..1..0
..0..0..0. .0..2..0. .0..0..1. .0..2..1. .2..1..2. .2..1..2. .2..2..2
..1..1..0. .2..2..2. .1..0..1. .1..0..2. .2..0..0. .1..2..1. .1..0..0
		

Crossrefs

Cf. A278634.

Formula

Empirical polynomial of degree 70 (see link above)

A278630 Number of nX4 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

15, 3354, 234484, 10776210, 387551595, 11719632199, 309971214338, 7350438329498, 158870607154260, 3165150394868325, 58584816738347925, 1013219703287606525, 16445858865221341430, 251416530890380206352
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 4 of A278634.

Examples

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

Crossrefs

Cf. A278634.

A278631 Number of nX5 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

90, 27521, 3739008, 387551595, 33967584488, 2593097277036, 175644502146694, 10734760074025367, 600850493598843960, 31181144570813141891, 1514424057857433189463, 69299571270775145840652
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 5 of A278634.

Examples

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

Crossrefs

Cf. A278634.

A278632 Number of nX6 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

357, 175881, 48592635, 11719632199, 2593097277036, 521528860552802, 94782697883923436, 15624069731088285787, 2357725621673408985921, 329332639476242364241409, 43040255418713805460253898
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 6 of A278634.

Examples

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

Crossrefs

Cf. A278634.

A278633 Number of nX7 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

Original entry on oeis.org

1107, 932205, 541463431, 309971214338, 175644502146694, 94782697883923436, 47369705674953303984, 21685396319356730003339, 9098829152955190125398905, 3522319073864419078316881080, 1269570351401707348639148214535
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2016

Keywords

Comments

Column 7 of A278634.

Examples

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

Crossrefs

Cf. A278634.
Showing 1-6 of 6 results.