A230176 -id:A230176 - cp's OEIS frontend

A230170 Number of n X 2 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

3, 27, 193, 1407, 10211, 73417, 530771, 3841171, 27770777, 200748959, 1451396131, 10493696945, 75868350707, 548518150083, 3965728577777, 28671821546207, 207294285260867, 1498715914818009, 10835559670997043, 78339967436748115

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

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

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

Column 2 of A230176.

Empirical: a(n) = 6*a(n-1) - 2*a(n-2) + 67*a(n-3) + 62*a(n-4) + 160*a(n-5) + 40*a(n-6) + 16*a(n-7).

Empirical g.f.: x*(1 - x + 11*x^2 - 2*x^3)*(3 + 12*x + 16*x^2 - 8*x^3) / (1 - 6*x + 2*x^2 - 67*x^3 - 62*x^4 - 160*x^5 - 40*x^6 - 16*x^7). - Colin Barker, Sep 21 2018

A230171 Number of n X 3 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

3, 193, 3787, 78849, 1637019, 33908253, 704822331, 14643857893, 304104787011, 6315931613849, 131183171878903, 2724650132436217, 56590036701710599, 1175359025263665849, 24411897444501278899, 507028430780683682221, 10530840582576107745111, 218722669602330105884245

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

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

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

Column 3 of A230176.

Empirical: a(n) = 14*a(n-1) +50*a(n-2) +1467*a(n-3) +7177*a(n-4) +27682*a(n-5) +45031*a(n-6) +22024*a(n-7) -61992*a(n-8) -130960*a(n-9) -145201*a(n-10) -231795*a(n-11) -285312*a(n-12) -178036*a(n-13) +6345*a(n-14) -60491*a(n-15) -91748*a(n-16) -155577*a(n-17) +52430*a(n-18) +56132*a(n-19) -1509*a(n-20) -9112*a(n-21) +502*a(n-22) +1976*a(n-23) +240*a(n-24) -96*a(n-25) -32*a(n-26) for n>27.

A230172 Number of n X 4 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

9, 1407, 78849, 4722977, 284444079, 17072965263, 1027868078181, 61861526624839, 3721702070420191, 223920929460093089, 13473042937456532657, 810647385075641076549, 48774886700839338028985, 2934683063063203660000047, 176573841926955569266738003, 10624082602448862037038864007

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 81

Column 4 of A230176.

Empirical recurrence of order 81 (see link above).

A230173 Number of nX5 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

15, 10211, 1637019, 284444079, 49754476927, 8666440899433, 1514677019365483, 264644708761844781, 46219801332800121297, 8072805292655435557305, 1410066823439995419927677, 246292114172239867332919195

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

Column 5 of A230176

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

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

A230174 Number of nX6 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

33, 73417, 33908253, 17072965263, 8666440899433, 4381081731832923, 2222884630214739547, 1127411488744987043611, 571557326062169407226463, 289782351408303721961315329, 146927686537779809297483679829

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

Column 6 of A230176

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

R. H. Hardin, Table of n, a(n) for n = 1..137

A230175 Number of nX7 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

63, 530771, 704822331, 1027868078181, 1514677019365483, 2222884630214739547, 3274958849115023706081, 4822680345112751878337083, 7098618594645882579322969411, 10449577732703043756255819628725

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

Column 7 of A230176

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

R. H. Hardin, Table of n, a(n) for n = 1..28

A230169 Number of n X n 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 27, 3787, 4722977, 49754476927, 4381081731832923, 3274958849115023706081

Offset: 1

R. H. Hardin, Oct 11 2013

nonn

Diagonal of A230176

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

cp's OEIS Frontend

A230170 Number of n X 2 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230171 Number of n X 3 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230172 Number of n X 4 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230173 Number of nX5 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230174 Number of nX6 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230175 Number of nX7 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230169 Number of n X n 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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