A229408 Number of nX4 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally

216, 18712, 1629298, 142475606, 12462062342, 1088122273732, 95053083585891, 8301763765531574, 725093556456021346, 63329941366726648700, 5531290909649734783556, 483106534141329972723097

Offset

1,1

Comments

Column 4 of A229412

Links

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

Formula

Empirical: a(n) = 75*a(n-1) +2015*a(n-2) -73205*a(n-3) -896610*a(n-4) +10470535*a(n-5) +157792703*a(n-6) +1077763146*a(n-7) -48083577042*a(n-8) +139036742866*a(n-9) +2329836068759*a(n-10) -12239602373109*a(n-11) -18093515207980*a(n-12) +25956958296476*a(n-13) +788113375763838*a(n-14) +4262697509579799*a(n-15) -32295546573782881*a(n-16) +5417264413820169*a(n-17) -222062164960051970*a(n-18) +2056761311429590249*a(n-19) +284299724552912084*a(n-20) -5503490927997508789*a(n-21) -37413268328101141846*a(n-22) -35941801725298585560*a(n-23) +347787642606086419936*a(n-24) +169870607382944004955*a(n-25) -846141604860515816370*a(n-26) -211772881175844251108*a(n-27) +647850647823873544356*a(n-28) -8127264578877075089*a(n-29) +9475013725414750069*a(n-30) +261644621740873034478*a(n-31) -320746521148777807135*a(n-32) -7078655626835329740*a(n-33) +72309509961021458842*a(n-34) -13313178706506520382*a(n-35) -88592046886273993*a(n-36) -273529821870610322*a(n-37) +31392037171652720*a(n-38) +1252411560948928*a(n-39) -20239125212160*a(n-40)

Example

Some solutions for n=3
..0..0..3..2....0..0..2..0....0..0..0..0....0..0..3..3....0..0..1..3
..2..2..3..1....3..2..3..0....2..3..1..2....3..2..2..0....3..2..1..3
..0..0..1..0....1..0..2..3....1..0..2..0....0..3..1..2....3..3..2..1

Crossrefs

Sequence in context: A352980 A223359 A046234 * A269285 A133052 A365629

Adjacent sequences: A229405 A229406 A229407 * A229409 A229410 A229411

Keyword

nonn

Author

R. H. Hardin Sep 22 2013

Status

approved