A232137 -id:A232137 - cp's OEIS frontend

A232130 Number of (n+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

6, 728, 602468, 3795674252, 176569302110496, 60960050569112225624, 156025607439258576501944264, 2960693161885750577087228146201160, 416501345588614541672537137056124519706624

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Diagonal of A232137

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

R. H. Hardin, Table of n, a(n) for n = 1..10

A232131 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

36, 728, 14752, 298912, 6056640, 122721280, 2486611712, 50384397824, 1020902270976, 20685797427200, 419141212008448, 8492752393142272, 172082441775661056, 3486780892303556608, 70650095765044723712

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

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

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

Column 2 of A232137.

Empirical: a(n) = 22*a(n-1) - 36*a(n-2) + 16*a(n-3).

Empirical g.f.: 4*x*(9 - 16*x + 8*x^2) / (1 - 22*x + 36*x^2 - 16*x^3). - Colin Barker, Oct 03 2018

A232132 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

200, 10956, 602468, 33162868, 1825568436, 100495188564, 5532131001812, 304536704087316, 16764354299718484, 922856165828434964, 50802046269213120468, 2796587378080211658132, 153948542186521174138196

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Column 3 of A232137

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

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

Empirical: a(n) = 65*a(n-1) -588*a(n-2) +2304*a(n-3) -5156*a(n-4) +7136*a(n-5) -5632*a(n-6) +2048*a(n-7) -256*a(n-8)

A232133 Number of (n+1) X (4+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

1140, 169692, 25364480, 3795674252, 568008109436, 85000031249096, 12719895449388800, 1903478569962529436, 284847519195214207740, 42626226776754332086840, 6378834593164563425802400

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Column 4 of A232137.

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

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

Cf. A232137.

Empirical: a(n) = 191*a(n-1) -6912*a(n-2) +115408*a(n-3) -1111971*a(n-4) +6750425*a(n-5) -26789260*a(n-6) +69724040*a(n-7) -116179712*a(n-8) +120732608*a(n-9) -77737728*a(n-10) +30931968*a(n-11) -7383040*a(n-12) +917504*a(n-13) -32768*a(n-14).

A232134 Number of (n+1)X(5+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

6468, 2616952, 1063744484, 433383414596, 176569302110496, 71938229899528156, 29309235951462780764, 11941235467361717495452, 4865125280955877875502856, 1982160394270679198811981452, 807576290792538717988018624964

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Column 5 of A232137

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

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

Empirical: a(n) = 561*a(n-1) -73140*a(n-2) +4741713*a(n-3) -189590243*a(n-4) +5166741030*a(n-5) -101404015378*a(n-6) +1481747635516*a(n-7) -16476516135731*a(n-8) +141802609562487*a(n-9) -960379067630908*a(n-10) +5207827691109751*a(n-11) -22965923908030370*a(n-12) +83424252857795943*a(n-13) -252125730302308846*a(n-14) +638719837675651150*a(n-15) -1364105336060855188*a(n-16) +2468073823021873449*a(n-17) -3803666086866956608*a(n-18) +5031007274209568576*a(n-19) -5774992822154852288*a(n-20) +5840357323644746240*a(n-21) -5289580945576167424*a(n-22) +4336919045252018176*a(n-23) -3211173022706860032*a(n-24) +2114909947423555584*a(n-25) -1214396287189254144*a(n-26) +594076082478514176*a(n-27) -239111167128109056*a(n-28) +75437217383710720*a(n-29) -17717117784686592*a(n-30) +2944599513366528*a(n-31) -325009838964736*a(n-32) +21251498180608*a(n-33) -618475290624*a(n-34) for n>36

A232135 Number of (n+1)X(6+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

36752, 40399768, 44671124016, 49550984711452, 54960219182423136, 60960050569112225624, 67614860357164156333264, 74996151957155670567677196, 83183234634538478967287390676, 92264074124974671889628121850048

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Column 6 of A232137

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

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

A232136 Number of (n+1)X(7+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

208772, 623543776, 1875654465544, 5664993176292288, 17107853745211295232, 51664900164122521134304, 156025607439258576501944264, 471190133881437195999528168348, 1422972465138592273774293522582768

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Column 7 of A232137

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

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

A232138 Number of (1+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

6, 36, 200, 1140, 6468, 36752, 208772, 1186044, 6737864, 38277700, 217454804, 1235356496, 7018035732, 39869322348, 226496831848, 1286724024020, 7309853741220, 41527134586384, 235914830581476, 1340227488431516

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

			Some solutions for n=6:
..0..1..2..0..2..1..0....0..1..0..1..2..0..1....0..1..2..2..0..1..0
..2..1..1..2..1..2..1....2..0..1..0..1..0..1....2..0..0..1..2..2..1

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

Row 1 of A232137.

Empirical: a(n) = 6*a(n-1) - 11*a(n-3) + 4*a(n-4).

Empirical g.f.: 2*x*(3 - 8*x^2 + 3*x^3) / (1 - 6*x + 11*x^3 - 4*x^4). - Colin Barker, Oct 03 2018

A232139 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

44, 728, 10956, 169692, 2616952, 40399768, 623543776, 9624373808, 148550587192, 2292857494812, 35389922134468, 546238342870352, 8431109896279836, 130132963416612180, 2008583492065392256, 31002196055330559468

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Row 2 of A232137

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

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

Empirical: a(n) = 15*a(n-1) +16*a(n-2) -163*a(n-3) +305*a(n-4) +116*a(n-5) -2324*a(n-6) +1718*a(n-7) -5922*a(n-8) +14296*a(n-9) +18892*a(n-10) -15292*a(n-11) -21000*a(n-12) -12320*a(n-13) -17184*a(n-14) +11072*a(n-15) +5120*a(n-17)

A232140 Number of (3+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Original entry on oeis.org

328, 14752, 602468, 25364480, 1063744484, 44671124016, 1875654465544, 78758608380688, 3307040482438920, 138861420876088764, 5830738287776487908, 244830499590623017720, 10280340127332484865416, 431667596881321790496532

Offset: 1

R. H. Hardin, Nov 19 2013

nonn

Row 3 of A232137

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 76

Empirical recurrence of order 76 (see link above)

cp's OEIS Frontend

A232130 Number of (n+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A232131 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A232132 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A232133 Number of (n+1) X (4+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A232134 Number of (n+1)X(5+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A232135 Number of (n+1)X(6+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A232136 Number of (n+1)X(7+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A232138 Number of (1+1) X (n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A232139 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A232140 Number of (3+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula