A281323 Number of n X 5 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

8, 3102, 350818, 31906806, 2628860468, 204635003232, 15351923549506, 1122266386967854, 80481356765998482, 5686853337036195894, 397143126206875377224, 27470811089982820181196, 1885180778216402756476090

Offset

1,1

Comments

Column 5 of A281326.

Links

R. H. Hardin, Table of n, a(n) for n = 1..109

Formula

Empirical: a(n) = 118*a(n-1) -2945*a(n-2) -33362*a(n-3) +26056*a(n-4) +748350*a(n-5) +34803*a(n-6) -5091278*a(n-7) +5510971*a(n-8) +3636892*a(n-9) -50799348*a(n-10) +55421328*a(n-11) -83423360*a(n-12) +24617536*a(n-13) -57226304*a(n-14) -611072*a(n-15) -12054784*a(n-16) for n>18.

Example

Some solutions for n=2
..0..1..0..1..1. .0..0..1..1..2. .0..1..0..2..2. .0..1..0..0..1
..1..2..0..0..0. .0..2..0..0..2. .0..2..1..1..1. .1..1..2..1..0

Crossrefs

Cf. A281326.

Sequence in context: A282187 A217270 A137565 * A145260 A201100 A079177

Adjacent sequences: A281320 A281321 A281322 * A281324 A281325 A281326

Keyword

nonn

Author

R. H. Hardin, Jan 20 2017

Status

approved