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 1-8 of 8 results.

A264191 Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 0,2 or 2,1.

Original entry on oeis.org

4, 18, 81, 360, 1600, 6760, 28561, 120666, 509796, 2159850, 9150625, 38768400, 164249856, 695767824, 2947295521, 12484841330, 52886200900, 224029644930, 949005240561, 4020052555512, 17029223715904, 72136947419128
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Column 2 of A264195.

Examples

			Some solutions for n=4
..2..1..0....2..1..0....0..1..2....7..8..2....0..1..2....0..8..2....7..8..2
..3..4..5....5.11..3....3.11..5....5.11..3....5..4..3....3..4..5....5..4..3
..8..7..6....6.14..8...13.14..8...13..0..1....6..7..8...13..7..1...13..0..1
.11.10..9....9.10..4....9.10..4....9.10..4...11.10..9...11.10..9...11.10..9
.12.13.14...12.13..7...12..6..7...12..6.14...12.13.14...14..6.12...12..6.14

Links

Crossrefs

Cf. A264195.

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) -17*a(n-4) +68*a(n-5) +17*a(n-6) +17*a(n-8) -68*a(n-9) -17*a(n-10) +a(n-12) -4*a(n-13) -a(n-14)

A264192 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 2,1.

Original entry on oeis.org

36, 864, 20736, 395280, 7535025, 150305220, 2998219536, 59481442800, 1180047690000, 23367447097200, 462725013969936, 9164960558748720, 181525743168224400, 3595660883206991280, 71222830224380145936
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Column 4 of A264195.

Examples

			Some solutions for n=3
.11..3.13..1..4....0..1..2..3..4....0..1..2.14..4....2..1..0..3..4
..5..6.18..8..9....5.17..9..8..7....5..8.18..6..9....5.17..7..6..9
.12..0.10..2.14...12.11.10.13.14...12.11.10.13..3...12.13.10.11.14
.15.16.19..7.17...15.16..6.18.19...15.16.19..7.17...15.18.19.16..8

Links

Crossrefs

Cf. A264195.

Formula

Empirical: a(n) = 19*a(n-1) +16*a(n-2) -6032*a(n-4) +114608*a(n-5) +96512*a(n-6) +1544192*a(n-8) -29339648*a(n-9) -24707072*a(n-10) +16777216*a(n-12) -318767104*a(n-13) -268435456*a(n-14) for n>16

A264193 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,2 or 2,1.

Original entry on oeis.org

81, 4608, 262144, 10764800, 442050625, 19169627850, 831295356516, 35638188122016, 1527832968950016, 65670947717590800, 2822738782165680625, 121309079019352675425, 5213338458910861518801, 224053338609946318965300
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Column 5 of A264195.

Examples

			Some solutions for n=2
.13..3.15..1..2..5....0..3..2.16..4..5....2..1..0..5..4..3....2.14..0..3..4..5
..6..9..8..7.10.11....6..7..8..9.10.11....6..9..8..7.10.11....6..9.10..7..8.11
.12..0.16.17.14..4...12.15..1.13.14.17...14.13.12.15.16.17...12.13..1.15.16.17

Links

Crossrefs

Cf. A264195.

Formula

Empirical: a(n) = 43*a(n-1) -a(n-2) +6304280137*a(n-8) -271084045891*a(n-9) +6304280137*a(n-10) -21506471693602896*a(n-16) +924778282824924528*a(n-17) -21506471693602896*a(n-18) +39722441580383416010*a(n-24) -1708064987956486888430*a(n-25) +39722441580383416010*a(n-26) -39722441580383416010*a(n-32) +1708064987956486888430*a(n-33) -39722441580383416010*a(n-34) +21506471693602896*a(n-40) -924778282824924528*a(n-41) +21506471693602896*a(n-42) -6304280137*a(n-48) +271084045891*a(n-49) -6304280137*a(n-50) +a(n-56) -43*a(n-57) +a(n-58)

A264194 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 2,1.

Original entry on oeis.org

225, 29040, 3748096, 324210304, 28044191296, 2585148634024, 238302234835681, 21610191419098239, 1959697832846942241, 178525809871370371359, 16263458710839902875041, 1481085572969040160283784
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Column 6 of A264195.

Examples

			Some solutions for n=2
..0..1..2..5..4.20..6....0.16..2.18..6.20..4....2..1.17..5.19.20..6
..7.10.11..8..9.12.13....9..8..7.10.13.12.11....9..8..7.12.13.10.11
.14.17.16.15..3.19.18...14.17..1.15..3.19..5...14..0.16.15..3..4.18

Links

Crossrefs

Cf. A264195.

A264196 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 2,1.

Original entry on oeis.org

2, 18, 180, 864, 4608, 29040, 184525, 1089000, 6480000, 39335400, 238918849, 1439151168, 8674025472, 52415185536, 316746710820, 1912128349230, 11543580054050, 69713595928295, 421013268028981, 2542224621830400
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Row 2 of A264195.

Examples

			Some solutions for n=4
.11..3.13..1..4....0..1..4.14..2....0..1..2.14..4....0..1..4.14..2
..7..6..5..8..9....5..8..7..6..9....5..8..7..6..9....5..6..9..8..7
.10..0.14..2.12...12.11.10.13..3...12.13.10.11..3...10.13.12.11..3

Links

Crossrefs

Cf. A264195.

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) +52*a(n-3) +300*a(n-4) -532*a(n-5) +119*a(n-6) -6244*a(n-7) -24121*a(n-8) +16320*a(n-9) -2400*a(n-10) +131520*a(n-11) +471143*a(n-12) -200732*a(n-13) +14903*a(n-14) -916076*a(n-15) -3182100*a(n-16) +1079756*a(n-17) -26017*a(n-18) +2328572*a(n-19) +7880063*a(n-20) -2432640*a(n-21) -2432640*a(n-23) -7880063*a(n-24) +2328572*a(n-25) +26017*a(n-26) +1079756*a(n-27) +3182100*a(n-28) -916076*a(n-29) -14903*a(n-30) -200732*a(n-31) -471143*a(n-32) +131520*a(n-33) +2400*a(n-34) +16320*a(n-35) +24121*a(n-36) -6244*a(n-37) -119*a(n-38) -532*a(n-39) -300*a(n-40) +52*a(n-41) +a(n-42) +4*a(n-43) +a(n-44)

A264197 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 2,1.

Original entry on oeis.org

4, 81, 2025, 20736, 262144, 3748096, 54479161, 741200625, 10251562500, 143054150625, 1998607065841, 27789935251456, 386869246296064, 5389119716069376, 75077285065499025, 1045564592618903841
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Row 3 of A264195.

Examples

			Some solutions for n=4
..2..3.13..1..4....0..3..2..1..4...11..1.13.14..4....0.12.13.14..4
.16..6..5..8..9....5..8..9..6..7....5..6..9..8..7....5..6..9.19..7
.12..0.10.11.14...10.13.12.11.14...10..0.12..2..3...10.11..1..2..3
.15.18.17..7.19...15.18.17.16.19...15.18.19.16.17...17.18.15.16..8

Links

Crossrefs

Cf. A264195.

Formula

Empirical: a(n) = 14*a(n-1) -a(n-2) +2911*a(n-4) -40754*a(n-5) +2911*a(n-6) -567645*a(n-8) +7947030*a(n-9) -567645*a(n-10) +7909187*a(n-12) -110728618*a(n-13) +7909187*a(n-14) -7909187*a(n-16) +110728618*a(n-17) -7909187*a(n-18) +567645*a(n-20) -7947030*a(n-21) +567645*a(n-22) -2911*a(n-24) +40754*a(n-25) -2911*a(n-26) +a(n-28) -14*a(n-29) +a(n-30)

A264198 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 2,1.

Original entry on oeis.org

8, 360, 19845, 395280, 10764800, 324210304, 9863496016, 279809075700, 8157568320000, 238979576637900, 7001055126046864, 204177934975626752, 5968556502961102848, 174493143469741118400, 5100928646184033070545
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Row 4 of A264195.

Examples

			Some solutions for n=3
..2..3..0..1....2..3..0..1....9..3..0..1....2..3..0..1....9..1..0..3
..6..5.15..7...13..7.15..5....6..5.15..7...13..5.15..7...13..7..4..5
.17..9.10.11...10.11.19..9...17.11.10..2....8.11.10..9...10.11..8..2
.14..4.12.13...14..4.12..6...14..4.12.13...14..4.12..6...14.15.12..6
.18..8.16.19...16..8.18.17...18..8.16.19...16.17.18.19...16.17.18.19

Links

Crossrefs

Cf. A264195.

A264199 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,2 or 2,1.

Original entry on oeis.org

16, 1600, 194481, 7535025, 442050625, 28044191296, 1785793904896, 105630130633104, 6491295438667776, 399228109079760016, 24524466922827571456, 1500134086448692638784
Offset: 1

Views

Author

R. H. Hardin, Nov 07 2015

Keywords

Comments

Row 5 of A264195.

Examples

			Some solutions for n=3
..0..3.11..1....2..1.11..3....2..1..0..3....0..3..2..1....2..1..0..3
..4.14.15..7....6..7..4..5....6..5..4..7....4..7.15..5....6..5..4..7
..8..9.10..2...10..0.19..9...17.18..8.11....8..9.10.11...17.11.19..9
.12.22..5..6...12.15.23.13...12.13.14.15...14.13.12..6...21.15.14.13
.18.17.16.19...16..8.18.17...16.19..9.10...16.17.18.19...16..8.18.10
.20.23.13.21...20.21.22.14...22.21.20.23...20.21.22.23...22.12.20.23

Crossrefs

Cf. A264195.
Showing 1-8 of 8 results.

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