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 1-7 of 7 results.

A263898 Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 76, 300, 1252, 5324, 23124, 101548, 450320, 2010108, 9022704, 40674180, 184026168, 835121676, 3799670208, 17326530900, 79163726536, 362316871964, 1660794058176, 7623209945860, 35034482102360, 161190157871724, 742373773430192, 3422236265162068
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Examples

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

Links

Crossrefs

Diagonal of A263905.
Row sums of A357329.
Cf. A263905.

Extensions

a(21)-a(26) from Alois P. Heinz, Oct 01 2022

A263899 Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 13, 31, 73, 172, 399, 932, 2177, 5081, 11853, 27662, 64554, 150639, 351520, 820296, 1914208, 4466904, 10423760, 24324417, 56762346, 132458006, 309097941, 721296815, 1683185225, 3927803988, 9165743599, 21388759708, 49911830577
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Examples

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

Links

Crossrefs

Column 2 of A263905.

Formula

Empirical: a(n) = 2*a(n-1) + 2*a(n-3) + a(n-4) - 3*a(n-5) - 2*a(n-7) + a(n-9).
Empirical g.f.: x*(1 + 2*x^2 - x^3) / ((1 - x)*(1 + x)*(1 + x^2)*(1 - 2*x - 2*x^3 + x^5)). - Colin Barker, Jan 03 2019

A263900 Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 61, 185, 577, 1788, 5540, 17165, 52991, 163600, 504983, 1557494, 4800848, 14791118, 45548176, 140205732, 431413253, 1326980704, 4080331096, 12542893726, 38546177015, 118428377799, 363772262171, 1117147291580, 3430089594015
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Comments

Column 3 of A263905.

Examples

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

Links

Crossrefs

Cf. A263905.

A263901 Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 76, 269, 979, 3552, 13068, 47999, 177283, 655064, 2425417, 8986341, 33341753, 123816292, 460226315, 1711870476, 6371885563, 23731057146, 88430326347, 329681018798, 1229642693864, 4588155649388, 17126079485326
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Comments

Column 4 of A263905.

Examples

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

Links

Crossrefs

Cf. A263905.

A263902 Number of length n arrays of permutations of 0..n-1 with each element moved by -5 to 5 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 76, 300, 1189, 4701, 18754, 75243, 303407, 1227560, 4981002, 20260788, 82579632, 337175123, 1378826528, 5646408697, 23151632776, 95034718893, 390504864746, 1606102645910, 6611314522432, 27235758104621, 112279739875866
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Comments

Column 5 of A263905.

Examples

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

Links

Crossrefs

Cf. A263905.

A263903 Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 76, 300, 1252, 5197, 21735, 91151, 384641, 1629124, 6927800, 29539650, 126281489, 540980783, 2321907944, 9982050981, 42977082052, 185279158666, 799716576405, 3455546697332, 14946086528673, 64704061451845
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Comments

Column 6 of A263905.

Examples

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

Links

Crossrefs

Cf. A263905.

A263904 Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and the total absolute value of displacements not greater than 2*(n-1).

Original entry on oeis.org

1, 2, 6, 20, 76, 300, 1252, 5324, 22869, 98497, 426139, 1850782, 8067832, 35280090, 154696678, 679891308, 2994160190, 13209317445, 58367173629, 258266895944, 1144247729578, 5075406674186, 22535970467972, 100160698537196
Offset: 1

Views

Author

R. H. Hardin, Oct 29 2015

Keywords

Comments

Column 7 of A263905.

Examples

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

Links

Crossrefs

Cf. A263905.
Showing 1-7 of 7 results.

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