A264212 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2.

56, 623, 7949, 97520, 1210573, 14973263, 185410184, 2295059475, 28412159649, 351721081216, 4354093505569, 53900825368787, 667257749134088, 8260220853354511, 102256223622663277, 1265866252726331184

Offset

1,1

Comments

Column 3 of A264217.

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -43*a(n-2) -285*a(n-3) +1433*a(n-4) -479*a(n-5) -7539*a(n-6) +12721*a(n-7) +3719*a(n-8) -22631*a(n-9) -5279*a(n-10) +61275*a(n-11) -61275*a(n-12) +5279*a(n-13) +22631*a(n-14) -3719*a(n-15) -12721*a(n-16) +7539*a(n-17) +479*a(n-18) -1433*a(n-19) +285*a(n-20) +43*a(n-21) -17*a(n-22) +a(n-23)

Example

Some solutions for n=4
..4..1..6..3....0..3..2..7....4..3..1..2....0..3..1..2....0..5..2..7
..0..9..2..7....4..1.10..6....0..9..5..6....4..5..6.11....4..1..6..3
..8..5.10.15....8..5..9.15...10.13.14..7...12..8.14..7....8..9.10.15
.16.13.14.11...12.17.13.11....8.15.18.11...16..9.10.19...16.17.14.11
.12.19.17.18...16.19.14.18...12.16.17.19...18.13.17.15...12.13.18.19

Crossrefs

Cf. A264217.

Sequence in context: A055747 A234106 A219475 * A027813 A199914 A190535

Adjacent sequences: A264209 A264210 A264211 * A264213 A264214 A264215

Keyword

nonn

Author

R. H. Hardin, Nov 08 2015

Status

approved