A263813 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,0 0,1 0,2 or 1,0

572, 18776, 643905, 21876416, 744805993, 25345430544, 862592912860, 29356226845638, 999073504952233, 34001177520867776, 1157152615158501081, 39381049330204238294, 1340244200628057661340, 45612154523649903001376

Offset

1,1

Comments

Column 3 of A263816

Links

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

Formula

Empirical: a(n) = 30*a(n-1) +196*a(n-2) -1915*a(n-3) -3770*a(n-4) +30778*a(n-5) -14022*a(n-6) -75638*a(n-7) +75638*a(n-8) +14022*a(n-9) -30778*a(n-10) +3770*a(n-11) +1915*a(n-12) -196*a(n-13) -30*a(n-14) +a(n-15)

Example

Some solutions for n=2
..2..0..1..3....2..0..1..3....1..5..3..2....0..2..3..1....2..0..3..1
..6..5..4..7....4..5..7..6....0..4..6.11....5..4..7..6....5..4..7.11
..9..8.11.10...10..9..8.11....8..9.10..7....8..9.11.10....9..8..6.10

Crossrefs

Cf. A263816

Sequence in context: A252641 A360129 A252632 * A231244 A252115 A090495

Adjacent sequences: A263810 A263811 A263812 * A263814 A263815 A263816

Keyword

nonn

Author

R. H. Hardin, Oct 27 2015

Status

approved