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A229408 Number of nX4 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally 1
216, 18712, 1629298, 142475606, 12462062342, 1088122273732, 95053083585891, 8301763765531574, 725093556456021346, 63329941366726648700, 5531290909649734783556, 483106534141329972723097 (list; graph; refs; listen; history; text; internal format)
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: A269105 A223359 A046234 * A269285 A133052 A078204

Adjacent sequences:  A229405 A229406 A229407 * A229409 A229410 A229411

KEYWORD

nonn

AUTHOR

R. H. Hardin Sep 22 2013

STATUS

approved

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Last modified November 29 14:50 EST 2021. Contains 349416 sequences. (Running on oeis4.)