A264187 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-1 or 2,2.

32, 1600, 70560, 2944656, 130196484, 5479256484, 236489590800, 10133933691456, 435454125148224, 18715402270845504, 804342346014521170, 34567413325396398225, 1485617314097191256064, 63846248910505848729856

Offset

1,1

Comments

Column 5 of A264190.

Links

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

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)

Example

Some solutions for n=3
..0..6..2..3..4..5...14..6..2..3..4..5....0..1..2.17..4.10....0.15..7..8..4.10
.20.12.13.14.10.16....1.12..8.23.10.11....6.12.13.23..5.11....6..2..3.14..5.16
..7..8..9..1.11.22....7.18..0.20.16.22....7..8.19.20.21..3...12.18..9..1.11.17
.18.19.15.21.17.23...13.19.15.21.17..9...18.14.15.16.22..9...13.19.20.21.22.23

Crossrefs

Cf. A264190.

Sequence in context: A240459 A333603 A264074 * A223054 A183242 A186019

Adjacent sequences: A264184 A264185 A264186 * A264188 A264189 A264190

Keyword

nonn

Author

R. H. Hardin, Nov 06 2015

Status

approved