cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A264129 Number of (n+1) X (4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

80, 1040, 13600, 178000, 2330000, 30500000, 399250000, 5226250000, 68412500000, 895531250000, 11722656250000, 153451562500000, 2008707031250000, 26294316406250000, 344197070312500000, 4505598144531250000
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Examples

			Some solutions for n=4:
..0..8..4..3..2....0..3..9..1..4....0..1..4..3..2....0..8..2..3..4
..5.13..7..1..9....5..6.14..8..2....5..6..9..8..7...12.13.14..1..9
.10.11.14..6.12...17.13.12.11..7...12.11.10.13.14...10.18..5..6..7
.15.16.19.18.17...15.23.10.18.19...22.18.17.16.19...22.16.24.11.19
.20.21.24.23.22...20.21.22.16.24...20.23.15.21.24...20.21.15.23.17

Links

Crossrefs

Column 4 of A264131.

Formula

Empirical: a(n) = 15*a(n-1) - 25*a(n-2).
Empirical g.f.: 80*x*(1 - 2*x) / (1 - 15*x + 25*x^2). - Colin Barker, Jan 04 2019

A264130 Number of (n+1) X (6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

976, 53280, 2920000, 160564000, 8830490000, 485643650000, 26708584500000, 1468872605000000, 80782519512500000, 4442737533906250000, 244334008340781250000, 13437459939332812500000, 739010221489140625000000
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Examples

			Some solutions for n=2:
..9..1..0.12..4..5..6....2.10.11.12.13..5..6....2..3..0.12.13..5..6
..7.10.11..8..2..3.13....9..8..0..1.20..3..4....7.17.18..1.11.10..4
.16.17.14.15.20.19.18...14.17..7.15.16.19.18...16.15.14..8..9.19.20

Links

Crossrefs

Column 6 of A264131.

Formula

Empirical: a(n) = 60*a(n-1) - 300*a(n-2) + 1500*a(n-3) - 7500*a(n-4) + 3125*a(n-5).
Empirical g.f.: 16*x*(61 - 330*x + 1000*x^2 - 7250*x^3 + 3125*x^4) / ((1 - 5*x)*(1 - 55*x + 25*x^2 - 1375*x^3 + 625*x^4)). - Colin Barker, Jan 05 2019

A264132 Number of (1+1)X(n+1) arrays of permutations of 0..n*2+1 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

1, 5, 25, 80, 256, 976, 3721, 13725, 50625, 189225, 707281, 2637376, 9834496, 36706880, 137007025, 511286105, 1908029761, 7120920301, 26575846441, 99181976400, 370150560000, 1381421480400, 5155538077561, 19240724018101
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Comments

Row 1 of A264131.

Examples

			Some solutions for n=4
..0..1..2..3..4....7..8..2..3..4....0..1..4..3..2....0..3..2..1..4
..7..8..5..6..9....5..6..0..1..9....5..8..7..6..9....5..6..9..8..7

Links

Crossrefs

Cf. A264131.

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) +15*a(n-4) -60*a(n-5) +15*a(n-6) -15*a(n-8) +60*a(n-9) -15*a(n-10) +a(n-12) -4*a(n-13) +a(n-14)

A264133 Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

1, 13, 169, 1040, 6400, 53280, 443556, 3383280, 25806400, 203738480, 1608491236, 12558632416, 98054154496, 768752950768, 6027088830169, 47188038099235, 369450492999025, 2893968831142495, 22668952280018641, 177540636808778880
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Comments

Row 2 of A264131.

Examples

			Some solutions for n=4
..0..3..4..1..2....0..1..9..3..4....0..1..4..3..2....2..1..0..3..4
..5..8.14..6..9....7..6..5..8..2....5..8..7..6..9....7..6.14..8..9
.12.13.10.11..7...10.13.12.11.14...10.11.14.13.12...10.11..5.13.12

Links

Crossrefs

Cf. A264131.

A264134 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

1, 34, 1156, 13600, 160000, 2920000, 53290000, 862334400, 13954224384, 237306157920, 4035639032100, 67770918639450, 1138084297605025, 19211562098419745, 324302970384650401, 5467769427984651928
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Comments

Row 3 of A264131.

Examples

			Some solutions for n=4
..7..1..9..3..4....2..3..0..1..4....7..8..9..3..4....0..1..4..3..2
..5..6..0..8..2....5.13.14..8..9....5..6..0..1..2....7.13..5..8..9
.10.11.19.13.14...10.11.12..6..7...10.11.12.13.14...10.11.14..6.12
.15.16.17.18.12...17.18.15.16.19...15.16.17.18.19...15.16.19.18.17

Links

Crossrefs

Cf. A264131.

A264135 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

Original entry on oeis.org

1, 89, 7921, 178000, 4000000, 160564000, 6445199524, 219637743496, 7484754845584, 273712171834464, 10009459836154944, 358827105960491520, 12863520517551001600, 465176569014432986560, 16821929895847549418521
Offset: 1

Views

Author

R. H. Hardin, Nov 03 2015

Keywords

Comments

Row 4 of A264131.

Examples

			Some solutions for n=4
..0..3..4..1..2....0..8..4..3..2....0..3..4..1..2....0..1..9..3..4
..7..6..5..8..9....5..6..9..1..7....5..6..7..8..9....5.13..7..8..2
.10.13.14.11.12...12.18.10.13.14...12.18.10.13.14...12.11.10..6.14
.15.18.19.16.17...22.16.15.11.19...15.23.24.11.19...17.16.15.18.19
.20.21.24.23.22...20.21.24.23.17...20.21.22.16.17...20.23.22.21.24

Links

Crossrefs

Cf. A264131.
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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