A263970 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,2 1,1 or 1,0.

108, 1817, 86633, 2940624, 118376593, 4465927225, 173624682220, 6667558559121, 257455940562569, 9918270812153408, 382479262941692449, 14743229754402141217, 568405954625127696140, 21912390582420380574169

Offset: 1

Author

R. H. Hardin, Oct 30 2015

Keywords

• nonn

Comments

Column 3 of A263973.

Examples

			Some solutions for n=3
..2..4..6..1....5..3..0..7....4..6..0..7....4..3..5..1....5..4..0..1
..0..7..3.10....1..2..9.10....1..2.10..3....0.10..9..2....9..2..3.10
..5.13.15..9...13..4..6.15....5.11.15.14...12..6.14..7...13.14..6..7
.14..8.12.11...14..8.12.11....8..9.12.13....8.15.11.13....8.15.12.11
		

Links

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

Crossrefs

Cf. A263973.

Formula

Empirical: a(n) = 48*a(n-1) -111*a(n-2) -13143*a(n-3) +131701*a(n-4) +59295*a(n-5) -4720800*a(n-6) [phone]*a(n-7) [phone]*a(n-8) -116442296*a(n-9) [phone]*a(n-10) -381462119*a(n-11) -578575706*a(n-12) [phone]*a(n-13) -3626876273*a(n-14) [phone]*a(n-15) [phone]*a(n-16) -4666835695*a(n-17) [phone]*a(n-18) -678640843*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -9205311*a(n-22) +2141847*a(n-23) -540093*a(n-24) -13833*a(n-25) +11952*a(n-26) -675*a(n-27)