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A241056
Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4
1
4, 4, 3, 24, 60, 93, 297, 507, 1264, 2850, 6180, 15453, 33463, 81394, 185671, 428769, 1005669, 2301449, 5384371, 12403537, 28828484, 66828140, 154614938, 359224400, 831157978, 1928175521, 4468984943, 10355201708, 24011010277, 55638167866
OFFSET
1,1
COMMENTS
Row 3 of A241054
LINKS
FORMULA
Empirical: a(n) = 9*a(n-2) +12*a(n-3) -36*a(n-4) -94*a(n-5) +42*a(n-6) +366*a(n-7) +182*a(n-8) -847*a(n-9) -1102*a(n-10) +1053*a(n-11) +3109*a(n-12) +196*a(n-13) -5605*a(n-14) -4198*a(n-15) +6248*a(n-16) +11838*a(n-17) -1164*a(n-18) -20204*a(n-19) -9948*a(n-20) +22399*a(n-21) +20007*a(n-22) -15440*a(n-23) -32138*a(n-24) -3232*a(n-25) +46610*a(n-26) +38214*a(n-27) -37132*a(n-28) -43172*a(n-29) +14617*a(n-30) +32371*a(n-31) +36897*a(n-32) +8088*a(n-33) -123047*a(n-34) -63621*a(n-35) +134896*a(n-36) +125072*a(n-37) -107223*a(n-38) -179919*a(n-39) +66957*a(n-40) +285064*a(n-41) -143540*a(n-42) -368756*a(n-43) +184926*a(n-44) +309921*a(n-45) -290298*a(n-46) -125601*a(n-47) +305292*a(n-48) +136259*a(n-49) -258603*a(n-50) +61327*a(n-51) +159050*a(n-52) -38560*a(n-53) -141448*a(n-54) +129709*a(n-55) +7719*a(n-56) -44123*a(n-57) -7193*a(n-58) +55990*a(n-59) -13845*a(n-60) -8760*a(n-61) +20576*a(n-62) -2742*a(n-63) -2230*a(n-64) -2120*a(n-65) -936*a(n-66) -3164*a(n-67) -680*a(n-68) -848*a(n-70) for n>85
EXAMPLE
Some solutions for n=4
..3..3..2..2....3..3..2..3....3..2..3..2....3..2..3..3....3..2..3..2
..2..1..1..0....2..1..1..0....2..1..1..0....2..1..1..2....2..1..1..0
..2..1..2..3....3..3..2..2....2..1..3..0....2..0..1..2....2..1..2..0
CROSSREFS
Sequence in context: A233581 A193628 A306506 * A212618 A066602 A073816
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 15 2014
STATUS
approved