A264343 Number of (3+1) X (n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 0,1 or 1,2.

16, 233, 4900, 70669, 1243225, 20386617, 345358201, 5804687049, 97945201592, 1651466105125, 27856916781264, 469861192549345, 7925440297808628, 133682668669239757, 2254906043186042569, 38034843997925237049

Offset

1,1

Comments

Row 3 of A264341.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +139*a(n-2) -1260*a(n-3) -7702*a(n-4) +43762*a(n-5) +217890*a(n-6) -744490*a(n-7) -3383575*a(n-8) +6630690*a(n-9) +29495043*a(n-10) -31906396*a(n-11) -148462702*a(n-12) +80910366*a(n-13) +438178264*a(n-14) -91294992*a(n-15) -756685497*a(n-16) +756685497*a(n-18) +91294992*a(n-19) -438178264*a(n-20) -80910366*a(n-21) +148462702*a(n-22) +31906396*a(n-23) -29495043*a(n-24) -6630690*a(n-25) +3383575*a(n-26) +744490*a(n-27) -217890*a(n-28) -43762*a(n-29) +7702*a(n-30) +1260*a(n-31) -139*a(n-32) -14*a(n-33) +a(n-34).

Example

Some solutions for n=4
..0..2..1..3..4....7..8..3..2..4....1..0..9..3..4....0..8..1..4..3
.12..6..8..7..9....5..6..0..1..9....5..7..6..8..2....5..6.14..9..2
.10.11..5.13.14...17.10.13.12.14...11.12.19.13.14...17.11.13.12..7
.15.17.16.18.19...16.15.18.11.19...15.16.10.17.18...15.16.10.18.19

Crossrefs

Cf. A264341.

Sequence in context: A111096 A283853 A266099 * A283411 A161591 A227440

Adjacent sequences: A264340 A264341 A264342 * A264344 A264345 A264346

Keyword

nonn

Author

R. H. Hardin, Nov 11 2015

Status

approved