A302424 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 25, 38, 83, 372, 992, 2503, 7611, 21321, 57872, 165477, 466562, 1295244, 3650383, 10273619, 28731647, 80699298, 226782203, 635782434, 1784439210, 5010891107, 14059108195, 39455529673, 110758862832, 310832105329, 872338548750

Offset

1,1

Comments

Column 5 of A302427.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +21*a(n-3) -11*a(n-4) -9*a(n-5) -149*a(n-6) +82*a(n-7) +36*a(n-8) +514*a(n-9) -390*a(n-10) -78*a(n-11) -888*a(n-12) +942*a(n-13) +22*a(n-14) +646*a(n-15) -1008*a(n-16) +68*a(n-17) +48*a(n-18) +368*a(n-19) -288*a(n-21) for n>24

Example

Some solutions for n=5
..0..1..0..1..1. .0..1..0..0..1. .0..1..0..1..0. .0..1..1..1..0
..1..1..0..0..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0
..0..1..0..1..0. .0..1..1..1..1. .1..1..0..1..0. .0..1..0..1..0
..1..1..1..1..0. .0..0..0..1..1. .0..1..0..0..0. .0..1..0..1..0
..0..1..1..0..1. .0..1..0..1..0. .0..1..0..1..1. .0..1..1..0..0

Crossrefs

Cf. A302427.

Sequence in context: A160758 A015804 A352978 * A244276 A161448 A031096

Adjacent sequences: A302421 A302422 A302423 * A302425 A302426 A302427

Keyword

nonn

Author

R. H. Hardin, Apr 07 2018

Status

approved