A188981 -id:A188981 - cp's OEIS frontend

A188976 Number of nX2 array permutations with each element moved but moved no more than a city block distance of two.

1, 9, 116, 900, 7836, 71865, 640513, 5706113, 51056136, 456396688, 4078122040, 36448590305, 325763780945, 2911451082361, 26020738951500, 232557947597540, 2078461123504804, 18576017680577225, 166021162669244641

Offset: 1

R. H. Hardin Apr 14 2011

nonn

Column 2 of A188981

			Some solutions for 3X2
..1..5....1..0....2..5....2..3....2..0....3..5....1..0....2..3....4..0....4..0
..4..2....3..5....1..0....5..4....5..1....1..2....5..4....0..1....1..2....1..5
..0..3....2..4....3..4....0..1....3..4....0..4....3..2....5..4....5..3....3..2

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

Empirical: a(n) = 8*a(n-1) +3*a(n-2) +68*a(n-3) -142*a(n-4) -354*a(n-5) +225*a(n-6) +430*a(n-7) +47*a(n-8) +308*a(n-9) -16*a(n-10) -932*a(n-11) +281*a(n-12) +24*a(n-13) -195*a(n-14) +112*a(n-15) +22*a(n-16) +22*a(n-17) -a(n-18) -6*a(n-19) +a(n-20)

A188977 Number of nX3 array permutations with each element moved but moved no more than a city block distance of two.

Original entry on oeis.org

2, 116, 7264, 295264, 12838276, 577290185, 25631148992, 1136766429824, 50487034527632, 2241979819401172, 99549503635633660, 4420377191555167852, 196282145900912402736, 8715672825193463217812, 387009187279257877916264

Offset: 1

R. H. Hardin Apr 14 2011

nonn

Column 3 of A188981

			Some solutions for 4X3
..1..3..0....1..7..0....2..0..5....2..0..1....1..3..8....1..3..8....1..2..5
..7..2.11....9..8.11....4..1.11....9..5..4....0..2..4....9..0..7....0..6.11
..4..9.10....3..5..2...10..3..7....7..3..6....9..6.10...10..4..2....3..8.10
..6..8..5....6..4.10....6..8..9...11..8.10...11..7..5...11..6..5....7..4..9

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

A188978 Number of nX4 array permutations with each element moved but moved no more than a city block distance of two.

Original entry on oeis.org

4, 900, 295264, 54113236, 10523263424, 2184414516364, 446454227170968, 90637093836201284, 18447462299508458652, 3757678170703167716673, 765103415743509162801632, 155767055441358236289145024

Offset: 1

R. H. Hardin Apr 14 2011

nonn

Column 4 of A188981

			Some solutions for 3X4
..2..4..0.11....2..3.10.11....1..6..3.11....2..4..7.11....2..3..0.11
..5..8..9..3....8..1..5..6....9..7..4..2....9.10..3..5....1..8..7..6
.10..1..7..6....0..4..7..9....0..8..5.10....0..1..8..6....9..4..5.10

R. H. Hardin, Table of n, a(n) for n = 1..52

A188979 Number of nX5 array permutations with each element moved but moved no more than a city block distance of two.

Original entry on oeis.org

6, 7836, 12838276, 10523263424, 9562891914304, 9298230791255360

Offset: 1

R. H. Hardin Apr 14 2011

nonn

Column 5 of A188981

			Some solutions for 3X5
..1..0..8..4.14....1..0..4..8.14....1..0..6..4..2....1..0..3..7.14
..7.10..5..2..3....7..5.12..2..3....7.12..8..3.13...10..5..2..9.13
.11.12..6..9.13...11.10..6..9.13....5.10.11.14..9....6.12..8.11..4

A188980 Number of n X 6 array permutations with each element moved but moved no more than a city block distance of two.

Original entry on oeis.org

13, 71865, 577290185, 2184414516364, 9298230791255360

Offset: 1

R. H. Hardin, Apr 14 2011

nonn

Column 6 of A188981.

			Some solutions for 3 X 6
..1..0..3..9.10.17....1..0..3.15.10.11....1..0..3..4..9.11....1..0..3.10..9.17
..8..2.14..4.11.16....8..2..6..7.16..4....8..2..6..7..5.10....8..2.14.15.16..4
..7..6.12.13.15..5...14.12.13..9.17..5...13.12.15.14.17.16....6..7.12.13.11..5

Cf. A188981.

cp's OEIS Frontend

A188976 Number of nX2 array permutations with each element moved but moved no more than a city block distance of two.

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A188977 Number of nX3 array permutations with each element moved but moved no more than a city block distance of two.

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A188978 Number of nX4 array permutations with each element moved but moved no more than a city block distance of two.

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A188979 Number of nX5 array permutations with each element moved but moved no more than a city block distance of two.

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A188980 Number of n X 6 array permutations with each element moved but moved no more than a city block distance of two.

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