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.

A238317 Number of (n+1)X(2+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

9, 67, 376, 1867, 9489, 50232, 267174, 1408341, 7395987, 38886701, 204722786, 1077853232, 5673085286, 29856142160, 157133586571, 827031030519, 4352855509300, 22909846720541, 120578232671314, 634623931681625
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 2 of A238323

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +39*a(n-3) +6*a(n-4) +62*a(n-5) +49*a(n-6) +33*a(n-7) -32*a(n-8) -41*a(n-9) -12*a(n-10) +6*a(n-11) +5*a(n-12) +a(n-13)

A238318 Number of (n+1)X(3+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

22, 376, 4294, 41046, 405636, 4245918, 44773061, 466364332, 4831077908, 50118953924, 520906788265, 5414918911420, 56265498867083, 584547225602293, 6073257215133643, 63102941239457036, 655660370108720902
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 3 of A238323

Examples

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

Formula

Empirical: a(n) = 14*a(n-1) -69*a(n-2) +338*a(n-3) -119*a(n-4) -205*a(n-5) +3136*a(n-6) +585*a(n-7) -35422*a(n-8) +20437*a(n-9) +61393*a(n-10) -336471*a(n-11) -66762*a(n-12) +1255786*a(n-13) -168329*a(n-14) -1982021*a(n-15) +2418579*a(n-16) +2176189*a(n-17) -8355481*a(n-18) -4601562*a(n-19) +12549690*a(n-20) +7969403*a(n-21) -9569735*a(n-22) -6645703*a(n-23) +4296381*a(n-24) +2341505*a(n-25) -1782000*a(n-26) -206421*a(n-27) +727746*a(n-28) -138501*a(n-29) -247543*a(n-30) +28937*a(n-31) +27566*a(n-32) -3059*a(n-33) +13415*a(n-34) +6590*a(n-35) -2745*a(n-36) -793*a(n-37) +610*a(n-38) +103*a(n-39) -62*a(n-40) -17*a(n-41) +a(n-42) +a(n-43)

A238319 Number of (n+1) X (4+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

51, 1867, 41046, 721939, 13265123, 261676376, 5206684654, 102053610873, 1987295524193, 38770223731701, 758012281434166, 14822685184195262, 289709710098420174, 5661329642092072222, 110637907561833470425
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 4 of A238323.

Examples

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

Crossrefs

Cf. A238323.

A238320 Number of (n+1)X(5+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

121, 9489, 405636, 13265123, 459256128, 17315827838, 658399071392, 24577532667851, 910817281935043, 33837788379096408, 1260231451310023356, 46939033254320776972, 1747281376213884382709, 65029646539397230908874
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 5 of A238323

Examples

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

A238321 Number of (n+1)X(6+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

292, 50232, 4245918, 261676376, 17315827838, 1266938409578, 93481623913793, 6747651769489946, 483084194221969236, 34692892698038230306, 2498614025548228474087, 179957391346727247579782
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 6 of A238323

Examples

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

A238322 Number of (n+1)X(7+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

704, 267174, 44773061, 5206684654, 658399071392, 93481623913793, 13394202897232848, 1870978944598208826, 258935263347125019228, 35966277167888104298602, 5012062141964637477653480
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Column 7 of A238323

Examples

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

A238316 Number of (n+1)X(n+1) 0..2 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

3, 67, 4294, 721939, 459256128, 1266938409578, 13394202897232848, 504070949140994691397
Offset: 1

Views

Author

R. H. Hardin, Feb 24 2014

Keywords

Comments

Diagonal of A238323

Examples

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