A263973 -id:A263973 - cp's OEIS frontend

A263969 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

20, 72, 1441, 13856, 189993, 2215960, 28027420, 340646784, 4224499865, 51860834624, 639939698625, 7875999490880, 97061605202532, 1195356109670056, 14726359450425633, 181392031870723936, 2234494271219028681

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Column 2 of A263973.

			Some solutions for n=4
..2..3..0....4..3..0....2..5..0....2..3..0....2..5..4....3..4..0....2..3..0
..6..1..7....5..2..1....7..1..3....6..7..1....0..1..8....6..2..1....1..6..7
..8..4..5....8.11..6...10..4..6....8..4..5....3.11..6....9.11..5....8..5..4
.12.13.14....7.13.14...11.13..8...12.14.13...12..7.13....7..8.13...11.12.13
..9.10.11...10..9.12...14..9.12....9.10.11...14..9.10...14.10.12...14..9.10

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

Cf. A263973.

Empirical: a(n) = 7*a(n-1) +80*a(n-2) -135*a(n-3) -591*a(n-4) +752*a(n-5) -823*a(n-6) -415*a(n-7) +768*a(n-8) -81*a(n-9) -9*a(n-10)

A263970 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

108, 1817, 86633, 2940624, 118376593, 4465927225, 173624682220, 6667558559121, 257455940562569, 9918270812153408, 382479262941692449, 14743229754402141217, 568405954625127696140, 21912390582420380574169

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Column 3 of A263973.

			Some solutions for n=3
..2..4..6..1....5..3..0..7....4..6..0..7....4..3..5..1....5..4..0..1
..0..7..3.10....1..2..9.10....1..2.10..3....0.10..9..2....9..2..3.10
..5.13.15..9...13..4..6.15....5.11.15.14...12..6.14..7...13.14..6..7
.14..8.12.11...14..8.12.11....8..9.12.13....8.15.11.13....8.15.12.11

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

Cf. A263973.

Empirical: a(n) = 48*a(n-1) -111*a(n-2) -13143*a(n-3) +131701*a(n-4) +59295*a(n-5) -4720800*a(n-6) +12779427*a(n-7) +19382471*a(n-8) -116442296*a(n-9) +280725335*a(n-10) -381462119*a(n-11) -578575706*a(n-12) +1756342049*a(n-13) -3626876273*a(n-14) +4852378354*a(n-15) +1964306003*a(n-16) -4666835695*a(n-17) +1402574008*a(n-18) -678640843*a(n-19) +169204617*a(n-20) +35040960*a(n-21) -9205311*a(n-22) +2141847*a(n-23) -540093*a(n-24) -13833*a(n-25) +11952*a(n-26) -675*a(n-27)

A263971 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

465, 10720, 2604481, 226810352, 31702909989, 3594130469760, 448695451459909, 53640316831369632, 6540831457433886617, 790462142954177461984, 95918547752313363235977, 11617678126362988189598288

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Column 4 of A263973.

			Some solutions for n=2
..2..3..4..1..8....6..7..0..8..2....5..6..4..1..8....2..6..4..9..8
.11..0..5.14..7....1.10.13..4..3....0..2.11.14..3....0.10..1.13..3
..6.13.10..9.12...12..5.14.11..9...12.13.10..7..9....5..7.14.11.12

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 53

Cf. A263973.

Empirical recurrence of order 53 (see link above)

A263972 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

2265, 89472, 102742049, 24130893568, 11743850653769, 4076407512902784, 1657544942470731697, 626331966744150934080, 244930759401226928002489, 94266499744006937216442880, 36551500651609006606385234657

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Column 5 of A263973.

			Some solutions for n=2
..7..3..0..5..2.10....7..8..0..5..2.11....7..6..4..1.11.10....6..8..0..9..2..3
.12.13..1.16..8..4...13..1.14..4..3.16....0..2.13..3.16..5...13..1.10..4..5.16
.14..6..9.17.11.15....6.15.12.17..9.10...14..8.12.17..9.15...14..7.12.17.11.15

R. H. Hardin, Table of n, a(n) for n = 1..152

Cf. A263973.

A263974 Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

0, 72, 1817, 10720, 89472, 1791696, 27783305, 317382472, 3783068416, 51756812704, 698792225489, 8925688199152, 114042394336256, 1490898399253328, 19518200132035505, 253177516072868896, 3279883039710140160

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Row 2 of A263973.

			Some solutions for n=4
..5..3..4..1..9....2..6..4..1..9....6..3..8..9..2....6..5..0..8..2
..7..0.12..2.14...10..0..3.14..7....0..1.11..4.14...10.11..1..3..4
..6.13.10.11..8....5.13..8.11.12....5.13.10..7.12...12.13.14..7..9

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

Cf. A263973.

A263975 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

16, 1441, 86633, 2604481, 102742049, 4952396901, 224559467921, 9479627840080, 407499168253313, 17951972257163801, 787313274461726480, 34237567537967020880, 1490472641241784860976, 65073777514668815019417

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Row 3 of A263973.

			Some solutions for n=3
..2..4..0..7....2..3..5..7....5..3..0..7....5..3..0..7....2..3..0..6
..1..8..3.11....6..0..1.10....8..1.10..2....6..2..1.10....1..7..9..5
.13.12..5..6...13..4..8.14....4.12..6.14....4.12.13.14...12..4..8.15
.14.15..9.10....9.15.12.11....9.15.11.13....8.15..9.11...14.10.11.13

R. H. Hardin, Table of n, a(n) for n = 1..92

Cf. A263973.

A263976 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

Original entry on oeis.org

0, 13856, 2940624, 226810352, 24130893568, 4071813326144, 609140174072448, 78375823545772864

Offset: 1

R. H. Hardin, Oct 30 2015

nonn

Row 4 of A263973.

			Some solutions for n=2
..2..5..0....2..5..0....4..5..0....2..5..0....2..5..0....2..3..0....2..4..5
..1..7..8....1..8..7....1..2..7....1..6..8....1..8..3....5..1..7....1..0..8
..4..3.11....4..3..6....9..3.10....3.10..4....4.11..6....9..4.11....3..9.11
.13..6..9...12.14.13....6.13..8...13.12..7...13.12..7....6.13..8...13..6..7
.14.10.12....9.10.11...14.11.12...14..9.11...14..9.10...14.10.12...14.10.12

Cf. A263973.

cp's OEIS Frontend

A263969 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263970 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263971 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263972 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263974 Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263975 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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A263976 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

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