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A205033
Number of (n+1)X2 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents
2
256, 3184, 39419, 484930, 5968388, 73466056, 904294268, 11130780320, 137006955354, 1686398403496, 20757625228642, 255502461987336, 3144941131656368, 38710604929118308, 476482982853175984
OFFSET
1,1
COMMENTS
Column 1 of A205037
LINKS
FORMULA
Empirical: a(n) = a(n-1) +34*a(n-2) +582*a(n-3) +5142*a(n-4) +29430*a(n-5) +141893*a(n-6) +485239*a(n-7) +1084942*a(n-8) +628746*a(n-9) -10094466*a(n-10) -53816194*a(n-11) -156882488*a(n-12) -256831416*a(n-13) +321917785*a(n-14) +3093754581*a(n-15) +9197113368*a(n-16) +14465829430*a(n-17) -14681085678*a(n-18) -133026969066*a(n-19) -309324059810*a(n-20) -294099314706*a(n-21) +877571764711*a(n-22) +3978922084157*a(n-23) +5197301537520*a(n-24) -2902860109402*a(n-25) -27927784950948*a(n-26) -59060635167276*a(n-27) -1562870003261*a(n-28) +206351083939863*a(n-29) +319589815397067*a(n-30) +9444381707099*a(n-31) -915231170663154*a(n-32) -1766350772185488*a(n-33) +599354103682832*a(n-34) +5593386405695188*a(n-35) +2434725203489772*a(n-36) -9279556176499756*a(n-37) -7526841517574540*a(n-38) +9330311073079364*a(n-39) +10597779207058032*a(n-40) -5584347756278536*a(n-41) -8887200534695040*a(n-42) +1615542973905328*a(n-43) +4595187680648704*a(n-44) +93423135264640*a(n-45) -1403829162662144*a(n-46) -206708750569472*a(n-47) +223304653640192*a(n-48) +50304229356032*a(n-49) -13098430672896*a(n-50) -3396041625600*a(n-51) for n>53
EXAMPLE
Some solutions for n=3
..3..2....0..1....3..1....1..3....2..3....3..2....2..1....1..3....3..1....3..3
..0..1....1..2....1..1....0..2....3..0....0..1....1..1....0..1....3..3....1..1
..0..1....2..1....3..3....0..3....1..2....0..2....0..1....2..2....3..2....3..0
..1..1....0..0....3..1....1..0....3..2....1..2....2..1....1..1....1..1....1..0
CROSSREFS
Sequence in context: A236120 A205037 A236133 * A236130 A236254 A236251
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 21 2012
STATUS
approved