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

1,1

Comments

Column 7 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) +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

Example

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

Crossrefs

Cf. A302163.

Sequence in context: A054370 A219171 A232045 * A302634 A302426 A303196

Adjacent sequences: A302159 A302160 A302161 * A302163 A302164 A302165

Keyword

nonn

Author

R. H. Hardin, Apr 02 2018

Status

approved