A230757 -id:A230757 - cp's OEIS frontend

A230750 Number of (n+3)X(1+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

12, 192, 2700, 31212, 363312, 4120752, 46949808, 532746828, 6052341168, 68709570732, 780232681452, 8858778163392, 100588142063808, 1142112286468800, 12968074244891052, 147244827712021248, 1671881661357048300

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 1 of A230757

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

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

Empirical: a(n) = 12*a(n-1) +18*a(n-2) -330*a(n-3) +381*a(n-4) +1326*a(n-5) -1995*a(n-6) -1701*a(n-7) +2955*a(n-8) +462*a(n-9) -1434*a(n-10) +147*a(n-11) +198*a(n-12) -33*a(n-13) -6*a(n-14) +a(n-15)

A230751 Number of (n+3)X(2+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

192, 5544, 178608, 4838400, 129731328, 3423037464, 90231813552, 2371911724800, 62340751389888, 1637784374230152, 43026042037169712, 1130254426477308672, 29690633338904531712, 779934263524825538808, 20487845491955757699888

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 2 of A230757

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

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

Empirical: a(n) = 31*a(n-1) -3864*a(n-3) +14574*a(n-4) +37518*a(n-5) -238176*a(n-6) +1739072*a(n-7) -6602591*a(n-8) -1491775*a(n-9) +16560784*a(n-10) +89336824*a(n-11) -386330924*a(n-12) -86274348*a(n-13) +1166624784*a(n-14) -2006665968*a(n-15) +6479579969*a(n-16) -3512617823*a(n-17) +540133040*a(n-18) -4346818712*a(n-19) +7862435998*a(n-20) -5792501698*a(n-21) +1019133200*a(n-22) -2919714960*a(n-23) -5125129473*a(n-24) -560243617*a(n-25) +332641792*a(n-26) -444124168*a(n-27) -992749888*a(n-28) +21841536*a(n-29) -8986624*a(n-30) -13069312*a(n-31) -25735168*a(n-32) +1699840*a(n-33) -32768*a(n-35) +262144*a(n-36)

A230752 Number of (n+3) X (3+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

2700, 178608, 13305708, 820317888, 51048476748, 3154520054700, 194576103540300, 11996844809605932, 739805051154249408, 45610762080137185200, 2812209212644935163212, 173386992056092099438572

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 3 of A230757.

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

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

Cf. A230757.

A230753 Number of (n+3)X(4+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

31212, 4838400, 820317888, 116879941620, 17027460691212, 2446111719135732, 350956390609736652, 50358119242966513344, 7223117962392705998700, 1035950069921732837599728, 148583744714836638940179888

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 4 of A230757

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

R. H. Hardin, Table of n, a(n) for n = 1..200

A230754 Number of (n+3)X(5+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

363312, 129731328, 51048476748, 17027460691212, 5769362600920812, 1928867953682733132, 645610139671314494208, 215988462456574388976300, 72238352925469656400705200, 24160858241776435434419641008

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 5 of A230757

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

R. H. Hardin, Table of n, a(n) for n = 1..200

A230755 Number of (n+3)X(6+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

4120752, 3423037464, 3154520054700, 2446111719135732, 1928867953682733132, 1504181314566629793432, 1173949802576478433728192, 915433809414452667025137888, 713802193109443984513638090432

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 6 of A230757

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

R. H. Hardin, Table of n, a(n) for n = 1..189

A230756 Number of (n+3)X(7+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

46949808, 90231813552, 194576103540300, 350956390609736652, 645610139671314494208, 1173949802576478433728192, 2135728868490621147879828300, 3882954971416088390717475507468

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Column 7 of A230757

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

R. H. Hardin, Table of n, a(n) for n = 1..114

A230749 Number of (n+3)X(n+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

Original entry on oeis.org

12, 5544, 13305708, 116879941620, 5769362600920812, 1504181314566629793432, 2135728868490621147879828300, 16459977111484024315408273362622152, 689468967599129606177339374031370776847408

Offset: 1

R. H. Hardin, Oct 29 2013

nonn

Diagonal of A230757

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

cp's OEIS Frontend

A230750 Number of (n+3)X(1+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230751 Number of (n+3)X(2+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230752 Number of (n+3) X (3+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230753 Number of (n+3)X(4+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230754 Number of (n+3)X(5+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230755 Number of (n+3)X(6+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230756 Number of (n+3)X(7+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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A230749 Number of (n+3)X(n+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

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