A297373 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1s.

128, 10294, 780273, 60872732, 4729833008, 367528649755, 28559447121714, 2219244393481926, 172449018928417757, 13400356819623734033, 1041290690882640656766, 80914733888580574615644

Offset

1,1

Comments

Column 7 of A297374.

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -240*a(n-2) -231*a(n-3) -86873*a(n-4) +674621*a(n-5) -1076398*a(n-6) +7382232*a(n-7) -74914323*a(n-8) +196187727*a(n-9) -218149875*a(n-10) +418802406*a(n-11) -177800916*a(n-12) -624771071*a(n-13) +1082537773*a(n-14) -271686582*a(n-15) -453590777*a(n-16) +39081217*a(n-17) +50792257*a(n-18) +80197691*a(n-19) +5431103*a(n-20) -17470712*a(n-21) -2919167*a(n-22) +279200*a(n-23) +505687*a(n-24) +36189*a(n-25) -23162*a(n-26) -400*a(n-27) +240*a(n-28) for n>31

Example

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

Crossrefs

Cf. A297374.

Sequence in context: A283281 A181242 A035817 * A283697 A283129 A295715

Adjacent sequences: A297370 A297371 A297372 * A297374 A297375 A297376

Keyword

nonn

Author

R. H. Hardin, Dec 29 2017

Status

approved