A240640 Number of nX5 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order

14, 1391, 138882, 13897353, 1390560136, 139138607313, 13922129807222, 1393040370960551, 139386826311366370, 13946966455660995272, 1395525520882666188438, 139635488877223680141555

Offset

1,1

Comments

Column 5 of A240642

Links

R. H. Hardin, Table of n, a(n) for n = 1..170

Formula

Empirical: a(n) = 111*a(n-1) -772*a(n-2) -34228*a(n-3) +174012*a(n-4) +2395828*a(n-5) -38808408*a(n-6) -190441676*a(n-7) +3246351580*a(n-8) +38955087948*a(n-9) -171618016473*a(n-10) -2625723294669*a(n-11) +8213124848616*a(n-12) +237046913056584*a(n-13) +1029825057566952*a(n-14) -4346095928227560*a(n-15) -47983334118510384*a(n-16) -51574555681638984*a(n-17) +498117021842941416*a(n-18) +953486319823262856*a(n-19) -1441781359683790347*a(n-20) +1729071802238452461*a(n-21) +23206083058111459356*a(n-22) +52045886403080488044*a(n-23) -94013190067975546788*a(n-24) -837432789047700448716*a(n-25) -986451988025969071992*a(n-26) -23154516715364226540*a(n-27) -52544240475082803396*a(n-28) +93058673884139455020*a(n-29) +838878916674928087269*a(n-30) +984770902183611232881*a(n-31)

Example

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

Crossrefs

Sequence in context: A054004 A280087 A240703 * A204698 A240773 A131582

Adjacent sequences: A240637 A240638 A240639 * A240641 A240642 A240643

Keyword

nonn

Author

R. H. Hardin, Apr 09 2014

Status

approved