A264197 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,2 or 2,1.

4, 81, 2025, 20736, 262144, 3748096, 54479161, 741200625, 10251562500, 143054150625, 1998607065841, 27789935251456, 386869246296064, 5389119716069376, 75077285065499025, 1045564592618903841

Offset

1,1

Comments

Row 3 of A264195.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -a(n-2) +2911*a(n-4) -40754*a(n-5) +2911*a(n-6) -567645*a(n-8) +7947030*a(n-9) -567645*a(n-10) +7909187*a(n-12) -110728618*a(n-13) +7909187*a(n-14) -7909187*a(n-16) +110728618*a(n-17) -7909187*a(n-18) +567645*a(n-20) -7947030*a(n-21) +567645*a(n-22) -2911*a(n-24) +40754*a(n-25) -2911*a(n-26) +a(n-28) -14*a(n-29) +a(n-30)

Example

Some solutions for n=4
..2..3.13..1..4....0..3..2..1..4...11..1.13.14..4....0.12.13.14..4
.16..6..5..8..9....5..8..9..6..7....5..6..9..8..7....5..6..9.19..7
.12..0.10.11.14...10.13.12.11.14...10..0.12..2..3...10.11..1..2..3
.15.18.17..7.19...15.18.17.16.19...15.18.19.16.17...17.18.15.16..8

Crossrefs

Cf. A264195.

Sequence in context: A123198 A202831 A335691 * A221251 A128911 A268206

Adjacent sequences: A264194 A264195 A264196 * A264198 A264199 A264200

Keyword

nonn

Author

R. H. Hardin, Nov 07 2015

Status

approved