A231940 -id:A231940 - cp's OEIS frontend

A231936 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

16, 668, 8426, 152180, 2462572, 36885538, 586971925, 9394148948, 147360195020, 2323912599668, 36828163940937, 581946068219980, 9192142912146333, 145366991149880099, 2298573739864122981, 36336196551594686076

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Column 3 of A231940

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 65

Empirical recurrence of order 65 (see link above)

A231937 Number of n X 4 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

50, 5070, 206808, 11159202, 518972238, 23280281589, 1098832065447, 52087504055935, 2432351670277323, 113769979092350975, 5346219822861215921, 250967014555486774293, 11767760181894477862270, 552098639482903392844421

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Column 4 of A231940.

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

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

Cf. A231940.

A231938 Number of n X 5 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

144, 42104, 4736026, 691418144, 86074040354, 10417626293694, 1320620287047433, 167980047970274816, 21111589946666517004, 2654446369108557445386, 334772700009651200937863, 42209724955108647369437110

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Column 5 of A231940.

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

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

Cf. A231940.

A231939 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

422, 326010, 94464137, 35573826030, 11290398059577, 3476929567859638, 1120087651967672493, 362364211977717231282, 115930516058476641150973, 37079126047622440334424980, 11892185139285339771154279190

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Column 6 of A231940

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

R. H. Hardin, Table of n, a(n) for n = 1..34

A231941 Number of 2 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

16, 84, 668, 5070, 42104, 326010, 2511252, 19430715, 152135920, 1190465282, 9289762532, 72404777123, 564819519982, 4409093385085, 34418864675001, 268626308705377, 2096420912100320, 16362151427663928, 127710770440282286

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Row 2 of A231940.

			Some solutions for n=7
..0..0..0..0..0..2..3....0..0..3..0..1..0..0....0..0..2..2..1..1..2
..2..0..0..0..3..1..1....0..0..0..0..0..2..0....0..0..1..3..1..1..3

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

Cf. A231940.

Empirical: a(n) = 16*a(n-1) -86*a(n-2) +190*a(n-3) +319*a(n-4) -4988*a(n-5) +10423*a(n-6) +3869*a(n-7) -14328*a(n-8) +132748*a(n-9) -44748*a(n-10) -130980*a(n-11) -63336*a(n-12) -493560*a(n-13) -373248*a(n-14) -51840*a(n-15).

A231942 Number of 3Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

64, 318, 8426, 206808, 4736026, 94464137, 1919281092, 41278336185, 897740885078, 19169895279256, 405027273733561, 8590742778707213, 183219148883189294, 3908854794384722672, 83220827197605442257, 1770396034339882044148

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Row 3 of A231940

			Some solutions for n=4
..0..0..1..1....0..0..1..1....0..0..0..3....0..2..0..1....0..0..1..1
..0..0..2..1....0..1..2..2....0..2..0..0....0..0..2..0....3..3..0..0
..1..0..0..2....0..0..1..2....1..0..1..2....2..0..0..1....0..0..0..2

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

A231943 Number of 4Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

256, 1328, 152180, 11159202, 691418144, 35573826030, 2011419734476, 124582053082101, 7653265481401592, 452142751713371321, 26462994900702111962, 1569385399161912987654, 93821782986385180580504

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Row 4 of A231940

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

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

A231944 Number of 5 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

1024, 6064, 2462572, 518972238, 86074040354, 11290398059577, 1706289443760818, 289388986218874400, 48236795314741664130, 7638764413360834101786, 1197465648559398650514577, 191101530460746738505413380

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Row 5 of A231940.

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

R. H. Hardin, Table of n, a(n) for n = 1..69

Cf. A231940.

A231945 Number of 6Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

4096, 26918, 36885538, 23280281589, 10417626293694, 3476929567859638, 1409341771587937145, 661676348421546930506, 301451523431900160476228, 128255558622031512822324926

Offset: 1

R. H. Hardin, Nov 15 2013

nonn

Row 6 of A231940

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

cp's OEIS Frontend

A231936 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Formula

A231937 Number of n X 4 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A231938 Number of n X 5 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A231939 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231941 Number of 2 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A231942 Number of 3Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231943 Number of 4Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231944 Number of 5 X n 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A231945 Number of 6Xn 0..3 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples