A220805 -id:A220805 - cp's OEIS frontend

A220801 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX2 array.

2, 16, 48, 256, 928, 4096, 15820, 65536, 259584, 1048576, 4182016, 16777216, 67051520, 268435456, 1073476576, 4294967296, 17178689536, 68719476736, 274872664064, 1099511627776, 4398023442432, 17592186044416, 70368643424320

Offset: 1

R. H. Hardin Dec 21 2012

nonn

Column 2 of A220805

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

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

Empirical: a(n) = 4*a(n-1) +8*a(n-2) -32*a(n-3) -16*a(n-4) +64*a(n-5) +44*a(n-8) -176*a(n-9) -352*a(n-10) +1408*a(n-11) +704*a(n-12) -2816*a(n-13) -688*a(n-16) +2752*a(n-17) +5504*a(n-18) -22016*a(n-19) -11008*a(n-20) +44032*a(n-21) +4672*a(n-24) -18688*a(n-25) -37376*a(n-26) +149504*a(n-27) +74752*a(n-28) -299008*a(n-29) -14336*a(n-32) +57344*a(n-33) +114688*a(n-34) -458752*a(n-35) -229376*a(n-36) +917504*a(n-37) +16384*a(n-40) -65536*a(n-41) -131072*a(n-42) +524288*a(n-43) +262144*a(n-44) -1048576*a(n-45)

A220802 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX3 array.

Original entry on oeis.org

8, 48, 512, 4096, 30766, 262144, 2097152, 16728064, 134217728, 1073741824, 8587150368, 68719476736, 549755813888, 4397962625024, 35184372088832, 281474976710656, 2251796346117248, 18014398509481984, 144115188075855872

Offset: 1

R. H. Hardin Dec 21 2012

nonn

Column 3 of A220805

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

R. H. Hardin, Table of n, a(n) for n = 1..146

A220803 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

16, 256, 4096, 62648, 1048576, 16777216, 268435456, 4294967296, 68700598768, 1099511627776, 17592186044416, 281474976710656, 4503599627370496, 72057490800855040, 1152921504606846976

Offset: 1

R. H. Hardin Dec 21 2012

nonn

Column 4 of A220805

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

A220804 Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

24, 928, 30766, 1048576, 33358976, 1073741824, 34348186888, 1099436130304

Offset: 1

R. H. Hardin Dec 21 2012

nonn

Column 5 of A220805

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

cp's OEIS Frontend

A220801 Sum of neighbor maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX2 array.

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A220802 Sum of neighbor maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX3 array.

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A220803 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX4 array.

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A220804 Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and vertical neighbors in a random 0..3 nX5 array.

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