A302166 Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 10, 17, 29, 51, 109, 206, 407, 791, 1584, 3104, 6165, 12131, 24059, 47443, 93958, 185498, 367087, 725156, 1434386, 2834565, 5605574, 11079494, 21907412, 43304842, 85620318, 169257166, 334632998, 661534245, 1307869617, 2585565413, 5111662053

Offset

1,1

Comments

Row 4 of A302163.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +8*a(n-4) -4*a(n-5) -4*a(n-6) -a(n-7) -22*a(n-8) +a(n-9) +5*a(n-10) +2*a(n-11) +28*a(n-12) +6*a(n-13) -3*a(n-14) -3*a(n-15) -17*a(n-16) -4*a(n-17) +2*a(n-18) +2*a(n-19) +4*a(n-20) -a(n-22) for n>23

Example

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

Crossrefs

Cf. A302163.

Sequence in context: A049510 A121846 A059094 * A287270 A299988 A143617

Adjacent sequences: A302163 A302164 A302165 * A302167 A302168 A302169

Keyword

nonn

Author

R. H. Hardin, Apr 02 2018

Status

approved