A232314 Number of (n+1)X(6+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero

549, 32089, 1905436, 113293694, 6736602042, 400571676322, 23818815015639, 1416315842358249, 84217060496525106, 5007720081104988709, 297769362466646214990, 17705980324085995012465, 1052834101669304585327957

Offset

1,1

Comments

Column 6 of A232316

Links

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

Formula

Empirical: a(n) = 72*a(n-1) -776*a(n-2) +1665*a(n-3) +9178*a(n-4) -25937*a(n-5) -66159*a(n-6) +136942*a(n-7) +220000*a(n-8) -272204*a(n-9) -190803*a(n-10) +93056*a(n-11) -91520*a(n-12) -19693*a(n-13) -8950*a(n-14) -5251*a(n-15) +211*a(n-16) -842*a(n-17) -172*a(n-18) for n>20

Example

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

Crossrefs

Sequence in context: A235834 A235585 A210399 * A141547 A236723 A189502

Adjacent sequences: A232311 A232312 A232313 * A232315 A232316 A232317

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved