A230068 -id:A230068 - cp's OEIS frontend

A230062 Number of n X n 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

0, 9, 45, 15129, 14082255, 114228452529, 5392746297039195, 1669550033290419884241, 3264068813720842706362349013, 40741287160388602906800646716513609

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Diagonal of A230068

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

R. H. Hardin, Table of n, a(n) for n = 1..12

A230063 Number of nX3 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 9, 45, 441, 3645, 31329, 266805, 2277081, 19424205, 165714129, 1413721125, 12060652041, 102890947005, 877775988609, 7488419962005, 63884675998521, 545008403548845, 4649536929125169, 39665798745571845, 338394040998364521

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Column 3 of A230068

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

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

Empirical: a(n) = 7*a(n-1) +14*a(n-2) -8*a(n-3).

Empirical: G.f.: -9*x^2*(-1+2*x) / ( (2*x+1)*(4*x^2-9*x+1) ). - R. J. Mathar, Mar 21 2016

A230064 Number of nX4 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 81, 441, 15129, 281961, 6487209, 137945025, 3020271849, 65409597009, 1422349620129, 30882371810481, 670905678011409, 14572037106084249, 316528933014939681, 6875333045808325641, 149340930039835655625

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Column 4 of A230068

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

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

Empirical: a(n) = 17*a(n-1) +132*a(n-2) -633*a(n-3) -223*a(n-4) +1688*a(n-5) +49*a(n-6) -593*a(n-7) +68*a(n-8) +9*a(n-9) -a(n-10) for n>11

A230065 Number of nX5 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 225, 3645, 281961, 14082255, 793041921, 43142680647, 2369158188849, 129763431348327, 7112485499815809, 389766441753947727, 21360486977871231969, 1170607520117723187375, 64152453401987618058561

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Column 5 of A230068

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

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

Empirical: a(n) = 59*a(n-1) -13572*a(n-3) +53018*a(n-4) -4614*a(n-5) -84248*a(n-6) +5703584*a(n-7) -22239144*a(n-8) -30968*a(n-9) +2695936*a(n-10) -13901184*a(n-11) +54290432*a(n-12) -1462272*a(n-13) +65536*a(n-15) -1048576*a(n-16) for n>19

A230066 Number of nX6 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 1089, 31329, 6487209, 793041921, 114228452529, 15615593045649, 2168295406671681, 299696508681902721, 41479887674695304025, 5738727994104197560329, 794048592071068202106225

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Column 6 of A230068

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

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

A230067 Number of nX7 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 3969, 266805, 137945025, 43142680647, 15615593045649, 5392746297039195, 1888668174848027049, 658744922326993528365, 230036351941714961424609, 80301571203375381579772923, 28034704123779041409942781569

Offset: 1

R. H. Hardin, Oct 08 2013

nonn

Column 7 of A230068

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

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

cp's OEIS Frontend

A230062 Number of n X n 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230063 Number of nX3 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230064 Number of nX4 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230065 Number of nX5 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230066 Number of nX6 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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A230067 Number of nX7 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).

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