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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A222933 A222934 A222935 * A222937 A222938 A222939

Keyword

nonn

Author

R. H. Hardin Mar 09 2013

Status

approved