A264142 -id:A264142 - cp's OEIS frontend

A264138 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

45, 720, 15488, 297920, 5953600, 117534144, 2330885440, 46152976320, 914311870272, 18109587264960, 358715709133120, 7105316641612736, 140740716602145600, 2787757236154376640, 55219250117210191168

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Column 4 of A264142.

			Some solutions for n=3
..0..1..8..3..4....0..1..5..6..4....0..1..8..6..4....0..1..5..3..4
.11..6..7..2.12....2..3.13..8..9....2.12.13.14..3...11..6.13..2.12
.10..5..9.16.14...10.11.15..7.14....7..5..9.16.17...16..8..9..7.14
.15.13.17.18.19...12.16.17.18.19...15.10.11.18.19...15.10.17.18.19

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

Cf. A264142.

Empirical: a(n) = 19*a(n-1) +16*a(n-2) -304*a(n-3) +5776*a(n-4) +4864*a(n-5) +4096*a(n-6) -77824*a(n-7) -65536*a(n-8)

A264139 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

125, 3600, 168948, 7001316, 302693857, 12968882161, 557669432592, 23961367651225, 1029830209986505, 44257860256772484, 1902064324279323060, 81744371899738736400, 3513106985623904477549, 150981837422000537407225

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Column 5 of A264142.

			Some solutions for n=3
..7..1..9.10..4..5....0..8..2..3.11..5....0..1..6.10..4..9....0..1..9..7..4..5
..2..0.15.13..3.11....6..7..1..9.10..4....2..3.15..5.14.11...13..3.12..2.10.11
.12..6.14..8.23.17...12.13.18.19.23.21....8.13..7.19.16.17....8..6.18.15.23.17
.18.19.20.21.22.16...14.15.20.17.22.16...18.12.20.21.22.23...14.19.20.21.22.16

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

Cf. A264142.

Empirical: a(n) = 43*a(n-1) -a(n-2) +3413255*a(n-6) -146769965*a(n-7) +3413255*a(n-8) -6304281985*a(n-12) +271084125355*a(n-13) -6304281985*a(n-14) +6304281985*a(n-18) -271084125355*a(n-19) +6304281985*a(n-20) -3413255*a(n-24) +146769965*a(n-25) -3413255*a(n-26) +a(n-30) -43*a(n-31) +a(n-32)

A264140 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

320, 18000, 1903336, 163887724, 15238898080, 1376159333484, 125699825697364, 11431703076430455, 1041358177270016565, 94799852855903563200, 8632210581410571081709, 785952052399566693917019

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Column 6 of A264142.

			Some solutions for n=2
..0..1..2..3..4.10..6....8..1..7..3..4..5..6....8..9..2..3..4.13..6
.15..8..9..5.19.17.18....2..0.14.15.11.20.13....7..0..1.18.16.12..5
.14..7.16.12.13.11.20....9.10.16.17.18.19.12...14.15.11.17.10.19.20

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 95

Cf. A264142.

Empirical recurrence of order 95 (see link above)

A264141 Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

832, 90000, 20768650, 3798503424, 758116015189, 147813083354689, 29086230347332416, 5708414855075340816, 1121408818216873313530, 220236879426948300870144, 43257308993366137748332485

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Column 7 of A264142.

			Some solutions for n=2
..0..1.11..9..4..5..6..7....0.10..8..3..4..5.15..7....0..1..2..9.10..5.15..7
..8..3.10..2.18.13.20.21....2.18..1.11.12.13.20..6....8..3..4.11.12.13.23..6
.16.17.12.19.14.15.22.23...16.17..9.19.14.21.22.23...16.17.18.19.20.21.22.14

R. H. Hardin, Table of n, a(n) for n = 1..145

Cf. A264142.

A264143 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

8, 125, 1440, 15488, 168948, 1903336, 20768650, 228712964, 2514024565, 27630491593, 304037924437, 3343529124864, 36775469678400, 404510148892477, 4449339039778765, 48939316077898664, 538295657554650689

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Row 3 of A264142.

			Some solutions for n=4
..0..1..5..3..4....0..1..2..3..4....0..1..2..6..4....0..1..5..6..7
..2..6..7.14..9...11..6.10.14..9....5..3.10.14.12....2..3..4.14..9
.16..8.18.13.17....7..5.15.13..8...16..8..9..7.17...10..8.12.13.17
.15.10.11.12.19...12.16.17.18.19...15.13.11.18.19...15.16.11.18.19

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 67

Cf. A264142.

Empirical recurrence of order 67 (see link above)

A264144 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

16, 512, 14400, 297920, 7001316, 163887724, 3798503424, 88222777344, 2044040513284, 47341085896775, 1096581934350825, 25398950018267007, 588299914903045444, 13626292315183613964, 315613062527522527296

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Row 4 of A264142.

			Some solutions for n=3
..0..1..2..3....0..1..2..3....0..1..4..3....0..1..7..5....0..1..7..5
..4.10..6..7....4..5..8..9....2..5..6..9....4..3..6..2....9..3..8..2
..8..9..5.13....6..7.12.13....8..7.15.11....8..9.15.11....6..4.15.11
.12.11.19.15...10.11.19.15...17.13.14.10...17.18.19.10...12.13.16.10
.16.17.18.14...16.17.18.14...16.12.18.19...16.12.13.14...14.17.18.19

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 95

Cf. A264142.

Empirical recurrence of order 95 (see link above)

A264145 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

32, 2197, 144000, 5953600, 302693857, 15238898080, 758116015189, 37756295112768, 1881340543397700, 93844626018289844, 4671287670607109136, 232749311970413840980, 11592531860936526641824, 577455315370687153595250

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Row 5 of A264142.

			Some solutions for n=3
..0..1..7..3....0..1..7..3....0..6..7..3....0..1..4..3....0..1..4..5
..2.10..8..9....9.10..8..2....9..5..1..2....2..5..8..7....2..3..8..7
..6..4..5.11...13..4..5..6....8..4.12.13....6..9.10.13....6..9.12.11
.12.13.16.17...12.11.14.15...10.11.14.17...17.11.14.15...10.13.16.17
.14.15.20.19...16.22.20.21...16.15.18.19...21.12.23.19...14.15.18.19
.18.21.22.23...18.19.17.23...20.21.22.23...20.16.22.18...20.21.22.23

R. H. Hardin, Table of n, a(n) for n = 1..18

Cf. A264142.

A264146 Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

Original entry on oeis.org

64, 9261, 1440000, 117534144, 12968882161, 1376159333484, 147813083354689, 15629429778886656, 1668183383627274240, 177524398873895731200, 18903690233550713749504

Offset: 1

R. H. Hardin, Nov 04 2015

nonn

Row 6 of A264142.

			Some solutions for n=2
..4..5..2....0..1..3....0..5..3....0..1..3....4..5..2....0..1..2....4..5..2
..7..0..1....2..8..5....2..4..1....2..4..5....3..0..1....3..8..6....3..0..1
..6..3..9....6..7..4....6..7..8....6..7..8...10.11..8....5..7..4....6..7..9
..8.10.11...13.10.11....9.14.12....9.10.11....9..6..7....9.10.12....8.14.11
.16.13.14...12..9.14...11.17.10...12.13.15...16.13.14...11.17.14...12.17.10
.19.12.17...15.16.18...19.16.13...14.20.17...19.12.18...19.20.13...15.16.13
.18.15.20...17.19.20...18.15.20...18.19.16...17.15.20...18.15.16...18.19.20

Cf. A264142.

cp's OEIS Frontend

A264138 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264139 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264140 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264141 Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264143 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264144 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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A264145 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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Crossrefs

A264146 Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,-2 or 1,1.

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