A263961 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having index change (+-,+-) 0,0 1,1 or 1,2.

108, 2089, 95161, 3232688, 123067561, 4487054905, 165950022876, 6104375073457, 224929550157169, 8282903643560704, 305074055800977969, 11235647820774917297, 413809947817622274124, 15240542794516632509049

Offset

1,1

Comments

Column 3 of A263964.

Links

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

Formula

Empirical: a(n) = 59*a(n-1) -800*a(n-2) -5123*a(n-3) +202521*a(n-4) -1193960*a(n-5) -8299248*a(n-6) +121460288*a(n-7) -182636544*a(n-8) -3955605504*a(n-9) +24437587968*a(n-10) -38600179712*a(n-11) -99925098496*a(n-12) +461708984320*a(n-13) -618475290624*a(n-14) +274877906944*a(n-15)

Example

Some solutions for n=3
..5..1..4..3....0..6..4..3....0..7..4..6....0..7..2..5....5..1..7..3
.10.11..0..2....1..2.11..7....1.10..3..2...10..3..9..1....4..0..8..2
..6.15..7.13....5.12.15.13....8..9..5.13....8..6..4.13....6.15.12.13
.12..8.14..9....9..8.14.10...12.11.14.15...12.11.14.15...10.11.14..9

Crossrefs

Cf. A263964.

Sequence in context: A233317 A263970 A250339 * A202427 A063809 A183357

Adjacent sequences: A263958 A263959 A263960 * A263962 A263963 A263964

Keyword

nonn

Author

R. H. Hardin, Oct 30 2015

Status

approved