A264068 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,1 or 1,2.

89, 3025, 131890, 5645376, 242621698, 10427064769, 448121165789, 19258783041289, 827679549612058, 35570961850254336, 1528723680011326810, 65699547278636775625, 2823551809301370027485, 121347028252680274383361

Offset

1,1

Links

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

Formula

Empirical: a(n) = 43*a(n-1) - 43*a(n-3) + a(n-4) for n>5.

Empirical g.f.: x*(89 - 802*x + 1815*x^2 - 22067*x^3 + 516*x^4) / ((1 - x)*(1 + x)*(1 - 43*x + x^2)). - Colin Barker, Jan 04 2019

Example

Some solutions for n=3:
..0..8.10..3.11..5....8..1..2.10..4..5....0..8..2..3.11..5....7..1.10..3.11..5
.13.15..1..2.17..4....6.15..0.16..3.11...14..7..1..9.10..4....6..0.15..2.17..4
.12..6.22..7.16..9...19.13.21..7..9.17...20.21..6.15.23.17...19.13.22..8.16..9
.18.19.20.21.14.23...18.12.20.14.22.23...18.19.12.13.22.16...18.12.20.21.14.23

Crossrefs

Column 5 of A264071.

Sequence in context: A197362 A232321 A264161 * A189020 A322503 A157757

Adjacent sequences: A264065 A264066 A264067 * A264069 A264070 A264071

Keyword

nonn

Author

R. H. Hardin, Nov 02 2015

Status

approved