A222383 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal and antidiagonal neighbors in a random 0..2 nX4 array

16, 248, 3968, 63488, 1048320, 16777216, 268435072, 4294961152, 68702699520, 1099511597056, 17592186044416, 281474976700416, 4503599627206656, 72057490958712832, 1152921504603963392, 18446744073709551616

Offset

1,1

Comments

Column 4 of A222386

Links

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

Formula

Empirical: a(n) = 16*a(n-1) +8352*a(n-5) -133632*a(n-6) -18096384*a(n-10) +289542144*a(n-11) +2753724416*a(n-15) -44059590656*a(n-16) -143077146624*a(n-20) +2289234345984*a(n-21) +2757369004032*a(n-25) -44117904064512*a(n-26) -17592186044416*a(n-30) +281474976710656*a(n-31)

Example

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

Crossrefs

Sequence in context: A360353 A217635 A183431 * A282312 A110394 A220459

Adjacent sequences: A222380 A222381 A222382 * A222384 A222385 A222386

Keyword

nonn

Author

R. H. Hardin Feb 18 2013

Status

approved