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A241366
Number of nX4 0..2 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order
1
4, 121, 4617, 169982, 6280325, 232173463, 8582759752, 317280724429, 11729003927933, 433589294151366, 16028613931818561, 592534154813233243, 21904372151717063740, 809744915865384534529, 29934061758919096085329
OFFSET
1,1
COMMENTS
Column 4 of A241370
LINKS
FORMULA
Empirical: a(n) = 39*a(n-1) -89*a(n-2) +700*a(n-3) -7268*a(n-4) +12612*a(n-5) -23904*a(n-6) +125306*a(n-7) -773407*a(n-8) +79505*a(n-9) +3859531*a(n-10) -3389476*a(n-11) -9274781*a(n-12) +92305*a(n-13) +19760919*a(n-14) +25560786*a(n-15) -3646222*a(n-16) -31076228*a(n-17) -38721450*a(n-18) -14157300*a(n-19) +16466073*a(n-20) +30488603*a(n-21) +16120777*a(n-22) +778176*a(n-23) -4523626*a(n-24) -3303044*a(n-25) -267592*a(n-26) -1363088*a(n-27) -220864*a(n-28) +213504*a(n-29) -47104*a(n-30) +98304*a(n-31)
EXAMPLE
Some solutions for n=4
..0..1..0..2....0..1..0..1....0..1..2..0....0..1..0..2....0..1..0..1
..2..0..1..0....1..2..0..2....1..0..1..0....2..0..1..2....2..1..0..1
..0..0..1..0....2..1..0..1....1..0..1..0....2..0..1..0....0..2..1..1
..0..2..0..1....1..0..2..0....1..0..1..0....2..0..1..2....1..0..1..0
CROSSREFS
Sequence in context: A098839 A227525 A071129 * A358570 A263612 A033934
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 20 2014
STATUS
approved