A220575 Equals one maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..1 nX4 array

8, 115, 1441, 17505, 205323, 2352642, 26616961, 299065708, 3347252663, 37378135504, 416811197294, 4643851898712, 51709572437898, 575575826236700, 6405129188993734, 71266042324237205, 792848605905100847

Offset

1,1

Comments

Column 4 of A220579

Links

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

Formula

Empirical: a(n) = 49*a(n-1) -1058*a(n-2) +13352*a(n-3) -109857*a(n-4) +620213*a(n-5) -2449435*a(n-6) +6704400*a(n-7) -12020996*a(n-8) +11403651*a(n-9) +1989496*a(n-10) -18274416*a(n-11) +12779735*a(n-12) +13888615*a(n-13) -21466582*a(n-14) -4814175*a(n-15) +19770698*a(n-16) +1111627*a(n-17) -21069650*a(n-18) +16193684*a(n-19) -921063*a(n-20) -11095317*a(n-21) +11666405*a(n-22) -3274482*a(n-23) -1162160*a(n-24) +1220233*a(n-25) -1400204*a(n-26) +728140*a(n-27) -62411*a(n-28) +67213*a(n-29) -17664*a(n-30) -12975*a(n-31) -10189*a(n-32) +5572*a(n-33) -704*a(n-34) +256*a(n-35) for n>36

Example

Some solutions for n=3
..0..1..0..1....1..0..1..0....1..1..1..1....1..0..1..0....1..0..1..1
..0..1..1..0....1..1..0..1....1..0..0..1....0..0..0..1....1..0..0..1
..1..0..1..0....0..1..0..1....0..1..0..1....1..1..0..0....1..1..0..1

Crossrefs

Sequence in context: A347019 A156468 A293992 * A240890 A241105 A214695

Adjacent sequences: A220572 A220573 A220574 * A220576 A220577 A220578

Keyword

nonn

Author

R. H. Hardin Dec 16 2012

Status

approved