A302622 Number of nX7 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

64, 361, 286, 1051, 5771, 30536, 159831, 851266, 4471550, 23596546, 124656067, 657560234, 3471424786, 18324471950, 96718090476, 510535952469, 2694818516619, 14224352597910, 75082608827730, 396318019638887, 2091938313164910

Offset

1,1

Comments

Column 7 of A302623.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +8*a(n-2) +30*a(n-3) -30*a(n-4) -20*a(n-5) -315*a(n-6) -251*a(n-7) +113*a(n-8) +2023*a(n-9) +132*a(n-10) -209*a(n-11) -4888*a(n-12) +717*a(n-13) +3759*a(n-14) +13504*a(n-15) -13849*a(n-16) -1791*a(n-17) -18677*a(n-18) -7031*a(n-19) +3966*a(n-20) +53587*a(n-21) +541*a(n-22) -65*a(n-23) -35490*a(n-24) -28553*a(n-25) +22659*a(n-26) +13817*a(n-27) +6815*a(n-28) -11700*a(n-29) -17*a(n-30) -3101*a(n-31) +5982*a(n-32) -192*a(n-33) -1908*a(n-34) +432*a(n-35) for n>43

Example

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

Crossrefs

Cf. A302623.

Sequence in context: A300313 A137739 A281468 * A302414 A303181 A017486

Adjacent sequences: A302619 A302620 A302621 * A302623 A302624 A302625

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved