A303085 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

4, 2, 32, 29, 258, 432, 2525, 6313, 30188, 97855, 428478, 1605301, 6821375, 27390903, 115569231, 478335810, 2017576268, 8457463080, 35707225807, 150472100292, 635822248364, 2685274511197, 11352580693193, 47989709554314

Offset

1,1

Comments

Row 3 of A303084.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -2*a(n-2) -67*a(n-3) +80*a(n-4) +187*a(n-5) -202*a(n-6) -298*a(n-7) +122*a(n-8) +213*a(n-9) +122*a(n-10) +126*a(n-11) -63*a(n-12) -416*a(n-13) +152*a(n-14) +20*a(n-15) -21*a(n-16) +9*a(n-17) for n>18

Example

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

Crossrefs

Cf. A303084.

Sequence in context: A076936 A344536 A348567 * A086482 A078758 A364878

Adjacent sequences: A303082 A303083 A303084 * A303086 A303087 A303088

Keyword

nonn

Author

R. H. Hardin, Apr 18 2018

Status

approved