A302162 Number of nX7 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

21, 185, 56, 206, 603, 1247, 2853, 6870, 15489, 35924, 84962, 195967, 453837, 1061993, 2464882, 5719363, 13329296, 30988342, 71989905, 167525699, 389592291, 905597726, 2106327411, 4898465680, 11389209332, 26486000403, 61593726193

Offset: 1

Author

R. H. Hardin, Apr 02 2018

Keywords

• nonn

Comments

Column 7 of A302163.

Examples

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

Links

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

Crossrefs

Cf. A302163.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +11*a(n-3) -7*a(n-4) -7*a(n-5) -41*a(n-6) +26*a(n-7) +17*a(n-8) +74*a(n-9) -59*a(n-10) -19*a(n-11) -73*a(n-12) +82*a(n-13) +11*a(n-14) +44*a(n-15) -69*a(n-16) -5*a(n-17) -23*a(n-18) +34*a(n-19) +3*a(n-20) +14*a(n-21) -9*a(n-22) -a(n-23) -6*a(n-24) +a(n-25) +a(n-27) for n>39