A264267 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 1,0 or 1,2.

25, 256, 3721, 50625, 707281, 9834496, 137007025, 1908029761, 26575846441, 370150560000, 5155538077561, 71807337114241, 1000147266261025, 13930253758038016, 194023406526536161, 2702397428803850625

Offset

1,1

Comments

Column 3 of A264272.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +14*a(n-2) -210*a(n-3) +210*a(n-5) -14*a(n-6) -14*a(n-7) +a(n-8)

Example

Some solutions for n=4
..0..1..2..3....0..1..2..3....0..1..2..3....6..5..2..3....6..7..2..3
..4..5.10..7....4..5..6.11...10..9..6..7....4..1..0..7....0..1.10.11
.12.15..6.11...14.15.10..7....8..5..4.15...12.13.14.11....4..9.14..5
..8.19.14..9...12..9..8.19...16.13.18.11....8..9.10.19....8.19.18.15
.16.17.18.13...16.17.18.13...12.17.14.19...16.17.18.15...16.17.12.13

Crossrefs

Cf. A264272.

Sequence in context: A090022 A298068 A017450 * A164756 A221781 A298717

Adjacent sequences: A264264 A264265 A264266 * A264268 A264269 A264270

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved