A208198 Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or left-upward diagonal neighbors

51, 41272, 39725054, 38372808893, 37069738362057, 35810971705853725, 34594950233928279876, 33420220819293699707599, 32285381308444124871905667, 31189077171790298063795540459, 30129999876244591484571731949842

Offset

1,1

Comments

Column 5 of A208201

Links

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

Formula

Empirical: a(n) = 928*a(n-1) +38247*a(n-2) -1419908*a(n-3) -25003347*a(n-4) +1012531896*a(n-5) -9450054156*a(n-6) +24082844974*a(n-7) +80821917709*a(n-8) -489140400628*a(n-9) +403243304428*a(n-10) +1648713698424*a(n-11) -3331507779798*a(n-12) +632406681414*a(n-13) +2327643475767*a(n-14) -977046212844*a(n-15) -462110735853*a(n-16) +172474098336*a(n-17) +29511981612*a(n-18) -7270112880*a(n-19) for n>20

Example

Some solutions for n=4
..0..0..0..1..0....0..0..0..0..0....0..1..0..0..0....0..1..1..0..0
..0..1..1..0..2....0..1..0..2..0....1..0..0..1..0....0..2..0..0..2
..2..1..2..2..2....1..0..2..0..1....1..0..2..3..1....1..1..3..1..0
..0..1..3..1..3....2..1..3..0..0....3..2..2..1..1....0..1..0..2..3

Crossrefs

Sequence in context: A200798 A241117 A255832 * A208405 A208412 A198904

Adjacent sequences: A208195 A208196 A208197 * A208199 A208200 A208201

Keyword

nonn

Author

R. H. Hardin Feb 24 2012

Status

approved