A302225 Number of 2Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

0, 3, 14, 45, 146, 537, 1934, 6861, 24386, 86913, 309638, 1102677, 3927050, 13986633, 49814510, 177416541, 631877618, 2250466449, 8015156630, 28546401765, 101669514458, 362101348953, 1289643083966, 4593131945709, 16358681988674

Offset

1,2

Comments

Row 2 of A302224.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) +10*a(n-4) +4*a(n-5) for n>6

Example

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

Crossrefs

Cf. A302224.

Sequence in context: A058389 A261481 A059672 * A032316 A032225 A032150

Adjacent sequences: A302222 A302223 A302224 * A302226 A302227 A302228

Keyword

nonn

Author

R. H. Hardin, Apr 03 2018

Status

approved