A301963 Number of n X 7 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

21, 35, 132, 443, 1803, 7795, 33860, 148299, 646838, 2827081, 12348295, 53946658, 235669276, 1029543928, 4497666250, 19648472006, 85836276153, 374983965881, 1638153628134, 7156431645355, 31263560215566, 136577871103739

Offset

1,1

Comments

Column 7 of A301964.

Links

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

Formula

Empirical: a(n) = a(n-1) +13*a(n-2) +13*a(n-3) -19*a(n-4) -27*a(n-5) +16*a(n-6) +32*a(n-7) -23*a(n-8) -43*a(n-9) +45*a(n-10) +11*a(n-11) -29*a(n-12) +13*a(n-13) -2*a(n-14) for n>17.

Example

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

Crossrefs

Cf. A301964.

Sequence in context: A364029 A301789 A244166 * A219919 A219215 A342719

Adjacent sequences: A301960 A301961 A301962 * A301964 A301965 A301966

Keyword

nonn

Author

R. H. Hardin, Mar 29 2018

Status

approved