A252958 Number of (n+2) X (5+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.

1251, 385, 605, 1027, 1747, 3315, 6091, 11027, 21661, 41149, 76195, 151665, 291595, 549597, 1095917, 2131051, 4059427, 8119947, 15887899, 30599099, 61205869, 120548245, 233864947, 468315993, 925888219, 1808629749, 3620886461

Offset

1,1

Comments

Column 5 of A252961.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -2*a(n-2) +3*a(n-3) -37*a(n-4) +20*a(n-5) +87*a(n-6) -23*a(n-7) -8*a(n-8) -423*a(n-9) +617*a(n-10) -244*a(n-11) +70*a(n-12) -105*a(n-13) +42*a(n-14) for n>16.

Example

Some solutions for n=2
..0..1..1..2..2..3..3....0..1..1..2..1..1..0....0..1..0..0..2..0..0
..4..4..3..3..0..0..1....3..1..3..3..1..3..3....3..3..0..3..3..0..3
..2..0..0..1..1..2..2....1..1..0..1..1..2..1....2..0..0..1..0..0..2
..1..1..4..4..3..3..0....0..1..1..0..1..1..2....0..4..0..0..1..0..0

Crossrefs

Cf. A252961.

Sequence in context: A035762 A107558 A254287 * A288354 A186477 A045186

Adjacent sequences: A252955 A252956 A252957 * A252959 A252960 A252961

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved