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.

A231657 Number of nX2 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

3, 15, 93, 458, 2163, 10789, 53813, 265397, 1311447, 6493700, 32130833, 158937397, 786355013, 3890673454, 19249161646, 95235762295, 471186213619, 2331226488364, 11533889645847, 57064690337149, 282331462742945, 1396854097460108
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 2 of A231663

Examples

			Some solutions for n=7
..2..0....1..0....0..0....0..2....0..0....1..1....0..0....0..0....0..0....2..2
..0..0....0..0....2..0....0..0....1..0....1..2....0..2....0..0....1..0....2..0
..2..1....0..2....1..0....0..1....2..0....1..2....1..1....0..1....0..1....0..0
..1..1....0..1....0..0....2..2....0..1....1..1....1..1....1..0....0..0....2..0
..2..1....0..0....2..2....2..0....0..0....2..1....2..1....0..0....0..2....0..0
..0..0....0..1....2..0....0..0....0..0....2..1....1..0....0..1....2..1....2..1
..0..0....0..0....0..0....2..0....2..2....2..1....0..0....1..2....1..1....2..1
		

Formula

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +65*a(n-3) -167*a(n-4) +235*a(n-5) -237*a(n-6) +327*a(n-7) -345*a(n-8) +267*a(n-9) -198*a(n-10) +193*a(n-11) -88*a(n-12) +52*a(n-13) -20*a(n-14) +16*a(n-15)

A231658 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

9, 93, 1197, 13434, 144465, 1607589, 17962078, 199451319, 2215334132, 24630393761, 273787728195, 3042987314978, 33822943262208, 375948173660383, 4178682035747595, 46446248901585653, 516253337817244309
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 3 of A231663

Examples

			Some solutions for n=5
..0..0..0....0..0..2....0..0..2....0..0..0....0..2..2....0..0..1....1..0..0
..1..1..0....0..0..0....2..0..0....1..1..0....0..0..0....0..2..1....0..0..2
..1..0..0....2..0..0....2..0..1....1..0..0....0..2..0....1..1..2....1..0..1
..1..0..0....1..0..0....2..0..2....0..0..0....2..0..0....1..1..1....0..0..1
..2..1..1....1..1..2....0..0..0....2..1..0....2..0..0....2..2..1....2..0..0
		

Formula

Empirical: a(n) = 22*a(n-1) -187*a(n-2) +1087*a(n-3) -5320*a(n-4) +19314*a(n-5) -48040*a(n-6) +59172*a(n-7) +63954*a(n-8) -540406*a(n-9) +1405698*a(n-10) -3249182*a(n-11) +6903927*a(n-12) -2526040*a(n-13) -10496366*a(n-14) -2177417*a(n-15) +34815192*a(n-16) -61109845*a(n-17) +118442561*a(n-18) -1919557*a(n-19) -412868015*a(n-20) +741502962*a(n-21) -1238756535*a(n-22) +1796964457*a(n-23) -1329779415*a(n-24) +260960844*a(n-25) +531253784*a(n-26) -1824042081*a(n-27) +3351472259*a(n-28) -2252500439*a(n-29) +1457224992*a(n-30) -937992344*a(n-31) -796856097*a(n-32) +1654523544*a(n-33) -1270928793*a(n-34) +779543513*a(n-35) -885493704*a(n-36) +346377936*a(n-37) +423931249*a(n-38) -101753248*a(n-39) +87239521*a(n-40) -277055497*a(n-41) +214365724*a(n-42) +93299496*a(n-43) -100406405*a(n-44) -66979600*a(n-45) -442294*a(n-46) +43755691*a(n-47) -14512622*a(n-48) -17608691*a(n-49) +4308011*a(n-50) +5162569*a(n-51) +1374874*a(n-52) -853220*a(n-53) -293040*a(n-54) +48896*a(n-55) -5280*a(n-56) -2304*a(n-57)

A231659 Number of nX4 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

22, 458, 13434, 345519, 8300390, 206363144, 5175246459, 128866716238, 3207643017150, 79935039912485, 1991696428397289, 49618927570423938, 1236219496604319805, 30799762343804253281, 767351257510286891977
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 4 of A231663

Examples

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

A231660 Number of nX5 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

51, 2163, 144465, 8300390, 434469343, 23632808750, 1304771142134, 71426776678405, 3902799543486962, 213611346097185990, 11693195116075740433, 639903225251107962333, 35018805296966170944821, 1916494358794580661283650
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 5 of A231663

Examples

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

A231661 Number of nX6 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

121, 10789, 1607589, 206363144, 23632808750, 2825994465190, 344368908016123, 41555342706134920, 5000894272327355414, 603091853962176844424, 72751735500292340340157, 8772519253282465553808508
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 6 of A231663

Examples

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

A231662 Number of nX7 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

292, 53813, 17962078, 5175246459, 1304771142134, 344368908016123, 92942728755412088, 24824481518301027324, 6607709887190748201068, 1762843521573188604964896, 470500753688617535877145830
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Column 7 of A231663

Examples

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

A231656 Number of n X n 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

3, 15, 1197, 345519, 434469343, 2825994465190, 92942728755412088, 14666832942979847986346, 11206356242764353017982723900
Offset: 1

Views

Author

R. H. Hardin, Nov 12 2013

Keywords

Comments

Diagonal of A231663

Examples

			Some solutions for n=3
..2..1..0....0..2..0....1..0..1....2..0..0....0..1..0....1..0..0....2..0..0
..0..0..0....0..0..0....0..0..2....1..0..0....0..0..0....0..0..0....0..0..0
..0..2..1....2..2..0....0..1..1....1..2..0....2..2..1....1..2..0....0..0..0
		
Showing 1-7 of 7 results.