A264570 Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having directed index change 1,0 1,1 0,-1 or -1,1.

1, 2, 4, 8, 24, 64, 160, 384, 960, 2432, 6144, 15360, 38400, 96256, 241664, 606208, 1519616, 3809280, 9551872, 23953408, 60063744, 150601728, 377618432, 946864128, 2374238208, 5953290240, 14927527936, 37429968896, 93853843456, 235334008832

Offset

1,2

Links

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

Formula

Empirical: a(n) = 2*a(n-1) + 8*a(n-4).

Empirical g.f.: x / (1 - 2*x - 8*x^4). - Colin Barker, Jan 08 2019

Example

Some solutions for n=4:
..1..2..6..7..8....1..2..3..4..8....1..2..3..7..8....1..5..6..7..8
..0.10.11..3..4....0.10.11.12.13....0.10.11.12..4....0.10..2..3..4
..5.12.13.14..9....5..6..7.14..9....5..6.13.14..9...11.12.13.14..9

Crossrefs

Row 2 of A264569.

Sequence in context: A333971 A231721 A114900 * A115115 A026097 A264557

Adjacent sequences: A264567 A264568 A264569 * A264571 A264572 A264573

Keyword

nonn

Author

R. H. Hardin, Nov 17 2015

Status

approved