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 1-7 of 7 results.

A278303 Number of n X 2 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

3, 32, 294, 2089, 11486, 51562, 197981, 672365, 2068221, 5862308, 15508725, 38669253, 91572377, 207221995, 450353206, 943885459, 1914477373, 3769095759, 7220896420, 13492019950, 24634260906, 44027466111, 77141909955, 132687309790
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 2 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

Formula

Empirical: a(n) = (1/355687428096000)*n^17 + (1/2324754432000)*n^16 + (31/1046139494400)*n^15 + (431/348713164800)*n^14 + (4033/114960384000)*n^13 + (27523/38320128000)*n^12 + (882599/80472268800)*n^11 + (103841/812851200)*n^10 + (164889503/146313216000)*n^9 + (350473933/48771072000)*n^8 + (90321617/2874009600)*n^7 + (163135657/1916006400)*n^6 + (55992583019/435891456000)*n^5 + (35685265529/145297152000)*n^4 + (926078371/1210809600)*n^3 + (234481327/201801600)*n^2 + (180371/314160)*n.

A278304 Number of nX3 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

16, 294, 4558, 70795, 986014, 11557658, 114457714, 979384739, 7403239385, 50338674135, 312278286478, 1787165528059, 9519474270945, 47534286373117, 223836172954845, 998984714458061, 4243782348859492, 17223599427090859
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 3 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

Formula

Empirical polynomial of degree 53 (see link above)

A278305 Number of nX4 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

51, 2089, 70795, 2360544, 79562696, 2506281752, 69684770828, 1689884963173, 36045826631067, 685286426542689, 11759467817079518, 184109136699624075, 2653459164462630395, 35466423366457631706, 442375217765486649151
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 4 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

Formula

Empirical polynomial of degree 161 (see link above)

A278306 Number of nX5 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

126, 11486, 986014, 79562696, 6345491150, 507575149862, 38819080346585, 2710823731820118, 169682177514345615, 9515799841809545361, 481274130722917682825, 22134553939263522315031, 933117878015049935514941
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 5 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

A278307 Number of nX6 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

266, 51562, 11557658, 2506281752, 507575149862, 100825279690194, 20065923383306483, 3886257287342627627, 704764955038032952712, 117079743963382645853885, 17705807900846493728558253
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 6 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

A278308 Number of nX7 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

504, 197981, 114457714, 69684770828, 38819080346585, 20065923383306483, 10174217016822816668, 5193800251722254864596, 2618709455820562585030428, 1260058503482337718156082135, 564882872428920086722942207177
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Column 7 of A278309.

Examples

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

Links

Crossrefs

Cf. A278309.

A278302 Number of n X n 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

Original entry on oeis.org

0, 32, 4558, 2360544, 6345491150, 100825279690194, 10174217016822816668, 6850575319751106211878878
Offset: 1

Views

Author

R. H. Hardin, Nov 17 2016

Keywords

Comments

Diagonal of A278309.

Examples

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

Crossrefs

Cf. A278309.
Showing 1-7 of 7 results.

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