A297313 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s.

37, 2049, 72541, 2997197, 121339476, 4893232934, 197589351469, 7976248015498, 322003901582689, 12999267991486894, 524779765336699929, 21185341677783382911, 855251189043741854090, 34526455187798967298229

Offset

1,1

Comments

Column 7 of A297314.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +964*a(n-2) +7855*a(n-3) -73030*a(n-4) -695613*a(n-5) +4192801*a(n-6) +21033448*a(n-7) -189025018*a(n-8) +184530457*a(n-9) +2066786840*a(n-10) -6682871967*a(n-11) -2708665119*a(n-12) +45304491886*a(n-13) -54509700621*a(n-14) -95719215815*a(n-15) +223090781321*a(n-16) +84502966487*a(n-17) -410238492043*a(n-18) -12548934436*a(n-19) +443801529456*a(n-20) -51099076433*a(n-21) -300831504736*a(n-22) +77062707971*a(n-23) +143343109349*a(n-24) -51338858358*a(n-25) -50336809366*a(n-26) +15557513886*a(n-27) +10486046289*a(n-28) -2094967974*a(n-29) -921214165*a(n-30) +89836481*a(n-31) +14593572*a(n-32) +487976*a(n-33) -95199*a(n-34) -3510*a(n-35) for n>39

Example

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

Crossrefs

Cf. A297314.

Sequence in context: A088872 A371489 A025762 * A297505 A099807 A193123

Adjacent sequences: A297310 A297311 A297312 * A297314 A297315 A297316

Keyword

nonn

Author

R. H. Hardin, Dec 28 2017

Status

approved