A222448 -id:A222448 - cp's OEIS frontend

A222445 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array.

2, 14, 64, 210, 1024, 4000, 16288, 65536, 260080, 1048576, 4191744, 16774656, 67108864, 268379104, 1073741824, 4294909952, 17179811840, 68719476736, 274876642816, 1099511627776, 4398045331456, 17592184864768, 70368744177664

Offset: 1

R. H. Hardin Feb 20 2013

nonn

Column 2 of A222448

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

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

Empirical: a(n) = 4*a(n-1) +60*a(n-5) -240*a(n-6) -1456*a(n-10) +5824*a(n-11) +18496*a(n-15) -73984*a(n-16) -133120*a(n-20) +532480*a(n-21) +544768*a(n-25) -2179072*a(n-26) -1179648*a(n-30) +4718592*a(n-31) +1048576*a(n-35) -4194304*a(n-36)

A222446 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX3 array.

Original entry on oeis.org

8, 64, 420, 4056, 32720, 262104, 2082688, 16777216, 134217728, 1073741824, 8588539008, 68719476736, 549755813888, 4398046511104, 35184256942080, 281474976587776, 2251799813537792, 18014398509359104, 144115179143299072

Offset: 1

R. H. Hardin Feb 20 2013

nonn

Column 3 of A222448

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

R. H. Hardin, Table of n, a(n) for n = 1..188

A222447 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

16, 210, 4056, 65536, 1048576, 16750154, 268430848, 4294967008, 68716055088, 1099511627776, 17592186044416, 281474975268864, 4503599621232000, 72057594037927936, 1152921504606846976, 18446744065442448416

Offset: 1

R. H. Hardin Feb 20 2013

nonn

Column 4 of A222448

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

R. H. Hardin, Table of n, a(n) for n = 1..18

cp's OEIS Frontend

A222445 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array.

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A222446 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX3 array.

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A222447 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX4 array.

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