A264275 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,0 or 1,2.

64, 1800, 50625, 1143000, 25806400, 600090240, 13954224384, 323177889984, 7484754845584, 173362944655124, 4015456912022689, 93006360976711231, 2154221392895732449, 49896286681978765567, 1155702674228671452961

Offset

1,1

Comments

Row 4 of A264272.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -467*a(n-3) +625*a(n-4) -5260*a(n-5) -15671*a(n-6) +466107*a(n-7) -420812*a(n-8) +879839*a(n-9) -157761*a(n-10) -732744*a(n-11) +1973397*a(n-12) -2238123*a(n-13) +1652184*a(n-14) -1326213*a(n-15) -1823409*a(n-16) +641268*a(n-17) -3529953*a(n-18) -222939*a(n-19) -250668*a(n-20) -21735*a(n-21) +9153*a(n-22) +2916*a(n-24) +243*a(n-25) for n>27

Example

Some solutions for n=3
..4..7..2..3....0..5..2..3....0..5..2..3....4..1..2..3....4..7..2..3
..0..1.10.11....4..1.10.11....8.11..6..1....0..9.10..7....0..5.10..1
..8..5..6.15....8.13..6..7....4.13.14..7...14.15..6..5....8.13..6.11
.12.17.14..9...12..9.14.15...12..9.10.19...12.17..8.11...16..9.14.19
.16.13.18.19...16.17.18.19...16.17.18.15...16.13.18.19...12.17.18.15

Crossrefs

Cf. A264272.

Sequence in context: A269203 A005609 A065788 * A283689 A226010 A203539

Adjacent sequences: A264272 A264273 A264274 * A264276 A264277 A264278

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved