A297337 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s.

34, 833, 18604, 427900, 9831967, 225944546, 5193690642, 119391166963, 2744583368968, 63093303226606, 1450410803043383, 33342572696460128, 766491421345203521, 17620390472470822059, 405064115422703756884

Offset

1,1

Comments

Column 7 of A297338.

Links

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

Formula

Empirical: a(n) = 43*a(n-1) -585*a(n-2) +2959*a(n-3) -288*a(n-4) -42886*a(n-5) +83130*a(n-6) +187674*a(n-7) -548300*a(n-8) -252731*a(n-9) +1293705*a(n-10) -68198*a(n-11) -1186073*a(n-12) +175603*a(n-13) +484575*a(n-14) -80778*a(n-15) -82496*a(n-16) +18732*a(n-17) +3444*a(n-18) -1884*a(n-19) +252*a(n-20) for n>22

Example

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

Crossrefs

Cf. A297338.

Sequence in context: A063843 A368527 A192094 * A295351 A295605 A244654

Adjacent sequences: A297334 A297335 A297336 * A297338 A297339 A297340

Keyword

nonn

Author

R. H. Hardin, Dec 28 2017

Status

approved