A231199 -id:A231199 - cp's OEIS frontend

A231193 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

67, 1413, 31665, 704428, 15698874, 349736292, 7791727354, 173590087438, 3867375772894, 86160416104014, 1919549013278026, 42765211455425302, 952756766481301782, 21226259035646084422, 472895169574435473198

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 2 of A231199

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

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

Empirical: a(n) = 22*a(n-1) +7*a(n-2) -24*a(n-3) +218*a(n-4) -1474*a(n-5) -4420*a(n-6) +892*a(n-7) +1572*a(n-8) +5428*a(n-9) +124572*a(n-10) +179816*a(n-11) -55176*a(n-12) -492608*a(n-13) -667584*a(n-14) -56192*a(n-15) +368640*a(n-16) +246784*a(n-17) -61440*a(n-18)

A231192 Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

9, 67, 538, 4264, 33868, 268936, 2135636, 16959144, 134673104, 1069443392, 8492483984, 67439085424, 535535922336, 4252707792768, 33770887846016, 268175694518400, 2129591719896640, 16911155582525312, 134292024365242368

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

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

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

Column 1 of A231199.

Empirical: a(n) = 8*a(n-1) - 4*a(n-3) + 4*a(n-4) - 12*a(n-5) - 16*a(n-6).

Empirical g.f.: x*(9 - 5*x + 2*x^2 - 4*x^3 - 12*x^4 - 16*x^5) / (1 - 8*x + 4*x^3 - 4*x^4 + 12*x^5 + 16*x^6). - Colin Barker, Sep 27 2018

A231194 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

538, 31665, 2001156, 125862699, 7925306181, 498915418541, 31409217221246, 1977358522670046, 124484128282635828, 7836867646402697860, 493368077989496076512, 31059866158795282895038, 1955366244648665136009175

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 3 of A231199

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 62

Empirical recurrence of order 62 (see link above)

A231195 Number of (n+1)X(4+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

4264, 704428, 125862699, 22370911245, 3979620300917, 707803712206189, 125892415174551558, 22391569075662818290, 3982627930521614647315, 708361425329705412880576, 125991160629687319925416882

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 4 of A231199

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

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

A231196 Number of (n+1)X(5+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

33868, 15698874, 7925306181, 3979620300917, 2000159147569783, 1005095606724544160, 505085343218758535024, 253817036845579765653637, 127548983317844250413130149, 64096334744340574731186165936

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 5 of A231199

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

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

A231197 Number of (n+1)X(6+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

268936, 349736292, 498915418541, 707803712206189, 1005095606724544160, 1426979668861283669236, 2026014594694331509708275, 2876511400864886545781053733, 4084038359532702954323652011183

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 6 of A231199

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

R. H. Hardin, Table of n, a(n) for n = 1..19

A231191 Number of (n+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

9, 1413, 2001156, 22370911245, 2000159147569783, 1426979668861283669236, 8127101616666745550335206754

Offset: 1

R. H. Hardin, Nov 05 2013

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

Diagonal of A231199.

A231198 Number of (n+1)X(7+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

2135636, 7791727354, 31409217221246, 125892415174551558, 505085343218758535024, 2026014594694331509708275, 8127101616666745550335206754

Offset: 1

R. H. Hardin, Nov 05 2013

nonn

Column 7 of A231199

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

cp's OEIS Frontend

A231193 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A231192 Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A231194 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A231195 Number of (n+1)X(4+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A231196 Number of (n+1)X(5+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A231197 Number of (n+1)X(6+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A231191 Number of (n+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Examples

Crossrefs

A231198 Number of (n+1)X(7+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples