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A240194
Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4
1
4, 27, 138, 771, 5240, 40765, 336257, 2843914, 24331713, 209365217, 1806459338, 15606899530, 134920604706, 1166738652794, 10090988027354, 87282067470301, 754973088693125, 6530482231898003, 56488830699787694, 488631696598081278
OFFSET
1,1
COMMENTS
Row 4 of A240192
LINKS
FORMULA
Empirical: a(n) = 27*a(n-1) -294*a(n-2) +1660*a(n-3) -4909*a(n-4) +4008*a(n-5) +28110*a(n-6) -141830*a(n-7) +316164*a(n-8) -141103*a(n-9) -1161198*a(n-10) +2896480*a(n-11) -1515959*a(n-12) -3659154*a(n-13) +5143300*a(n-14) -13602*a(n-15) -280443*a(n-16) -7998970*a(n-17) +9853042*a(n-18) +2165540*a(n-19) -18119292*a(n-20) +21393552*a(n-21) -1551144*a(n-22) -20485792*a(n-23) +14878784*a(n-24) +4182464*a(n-25) -7981312*a(n-26) +1462784*a(n-27) +1097728*a(n-28) -368640*a(n-29) for n>34
EXAMPLE
Some solutions for n=4
..2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0
..1..2..2..0....1..0..2..2....1..2..2..2....1..2..2..2....1..0..2..0
..2..1..1..3....1..3..2..0....2..1..2..2....2..1..2..0....1..3..2..3
..1..3..3..2....2..3..0..0....1..3..3..2....1..3..3..2....2..1..0..2
CROSSREFS
Sequence in context: A267886 A034512 A366486 * A278358 A274751 A015534
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 02 2014
STATUS
approved