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A222936
Sum of neighbor maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array
1
4, 16, 48, 256, 1024, 4096, 15820, 65536, 262144, 1048576, 4182016, 16777216, 67108864, 268435456, 1073476576, 4294967296, 17179869184, 68719476736, 274872664064, 1099511627776, 4398046511104, 17592186044416, 70368643424320
OFFSET
1,1
COMMENTS
Row 2 of A222935
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +32*a(n-4) -128*a(n-5) -212*a(n-8) +848*a(n-9) -1408*a(n-12) +5632*a(n-13) +10576*a(n-16) -42304*a(n-17) +22016*a(n-20) -88064*a(n-21) -171456*a(n-24) +685824*a(n-25) -149504*a(n-28) +598016*a(n-29) +1181696*a(n-32) -4726784*a(n-33) +458752*a(n-36) -1835008*a(n-37) -3653632*a(n-40) +14614528*a(n-41) -524288*a(n-44) +2097152*a(n-45) +4194304*a(n-48) -16777216*a(n-49)
EXAMPLE
Some solutions for n=3
..1..0..0....0..1..1....1..0..1....0..0..0....0..0..0....0..0..1....0..0..1
..1..1..0....1..0..0....0..0..0....0..1..0....1..0..1....0..1..1....1..1..0
CROSSREFS
Sequence in context: A220329 A222387 A366608 * A370019 A119005 A237986
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 09 2013
STATUS
approved