A264061 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,2 or 2,-2.

1, 45, 2025, 32400, 518400, 11151360, 239878144, 4614184960, 88756326400, 1773696512000, 35445352960000, 699751279718400, 13814275005812736, 273958624952463360, 5433026934403993600, 107577300516952780800

Offset

1,2

Comments

Row 4 of A264059.

Links

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

Formula

Empirical: a(n) = 19*a(n-1) +16*a(n-2) -2366480*a(n-6) +44963120*a(n-7) +37863680*a(n-8) +238086819840*a(n-12) -4523649576960*a(n-13) -3809389117440*a(n-14) +975203614064640*a(n-18) -18528868667228160*a(n-19) -15603257825034240*a(n-20) -162623267306209280*a(n-24) +3089842078817976320*a(n-25) +2601972276899348480*a(n-26) -1152921504606846976*a(n-30) +21905508587530092544*a(n-31) +18446744073709551616*a(n-32)

Example

Some solutions for n=4
..0..1..2..3..4....0..1.10..3..4....7..8..9.11.12....0..1..9..3..4
.12..6.14..8.17....5.13.14.16..2....5..6..0..1..2....5..6.15.16..2
.10.18..5.13..7...17.11.20..6.22...10..3..4.13.14...10.11.19.13.14
.15.23..9.11.19....7..8..9.18.19...22.16.17.18.19....7..8.17.18.12
.20.21.22.16.24...12.21.15.23.24...20.21.15.23.24...20.21.22.23.24

Crossrefs

Cf. A264059.

Sequence in context: A170764 A218747 A121009 * A009989 A095658 A342405

Adjacent sequences: A264058 A264059 A264060 * A264062 A264063 A264064

Keyword

nonn

Author

R. H. Hardin, Nov 02 2015

Status

approved