A231953 Number of (n+1)X(4+1) 0..1 arrays with every element equal to some horizontal, vertical, diagonal or antidiagonal neighbor, with top left element zero

236, 7756, 220472, 6517534, 193955142, 5764579644, 171279257338, 5089308419738, 151223178459482, 4493424899719612, 133516942705659428, 3967302181683700740, 117883817779236879238, 3502781954945577038092, 104081133818878131585006

Offset

1,1

Comments

Column 4 of A231957

Links

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

Formula

Empirical: a(n) = 27*a(n-1) +43*a(n-2) +979*a(n-3) +3959*a(n-4) +5024*a(n-5) +13587*a(n-6) -30380*a(n-7) -229403*a(n-8) -225428*a(n-9) +119690*a(n-10) +600710*a(n-11) +1399515*a(n-12) +477099*a(n-13) -2452480*a(n-14) -2052385*a(n-15) +1138184*a(n-16) +1422082*a(n-17) +42409*a(n-18) -158339*a(n-19) -56561*a(n-20) -79639*a(n-21) -16514*a(n-22) +4502*a(n-23) -496*a(n-24) +1440*a(n-25) +720*a(n-26)

Example

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

Crossrefs

Sequence in context: A218649 A285156 A242148 * A233178 A220760 A218179

Adjacent sequences: A231950 A231951 A231952 * A231954 A231955 A231956

Keyword

nonn

Author

R. H. Hardin, Nov 15 2013

Status

approved