A264125 Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.

16, 845, 53361, 1995525, 79655625, 3436012800, 149787576576, 6432597984690, 275389278850449, 11834412715370304, 508583732638722624, 21857310266188190976, 939362992251009925284, 40370734994488397544402

Offset

1,1

Comments

Column 5 of A264128.

Links

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

Formula

Empirical: a(n) = 43*a(n-1) -a(n-2) +3413255*a(n-6) -146769965*a(n-7) +3413255*a(n-8) -6304281985*a(n-12) +271084125355*a(n-13) -6304281985*a(n-14) +6304281985*a(n-18) -271084125355*a(n-19) +6304281985*a(n-20) -3413255*a(n-24) +146769965*a(n-25) -3413255*a(n-26) +a(n-30) -43*a(n-31) +a(n-32) for n>34.

Example

Some solutions for n=3
..0..1..2..3..8.16....0.12..6.14..8..9....0.12..6.14..8..9....0..1..2.14..8..5
..6.18..4..9.21.22....2..7..4..5.21.11....2.18..4..5.10.22....6..7.19.13.21.11
.12.13.14.19..5.17....1.13..3.19.16.17....1.13..3.15.16.17...12..9..3..4.16.17
..7.15.20.10.11.23...18.15.20.10.22.23....7.19.20.21.11.23...18.15.20.10.22.23

Crossrefs

Cf. A264128.

Sequence in context: A363988 A223113 A145243 * A272468 A214386 A367089

Adjacent sequences: A264122 A264123 A264124 * A264126 A264127 A264128

Keyword

nonn

Author

R. H. Hardin, Nov 03 2015

Status

approved