A232403 Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or vertically, with no adjacent elements equal

28, 124, 484, 2788, 13532, 71888, 370876, 1936620, 10086748, 52577472, 274075468, 1428659044, 7447465900, 38822542800, 202377611840, 1054972011608, 5499454349924, 28668065663684, 149443551918676, 779033262821720

Offset

1,1

Comments

Column 5 of A232406

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +17*a(n-2) +a(n-3) -123*a(n-4) -246*a(n-5) +117*a(n-6) +1412*a(n-7) +2360*a(n-8) -1193*a(n-9) -11619*a(n-10) -15225*a(n-11) +14827*a(n-12) +64719*a(n-13) +47086*a(n-14) -94989*a(n-15) -216619*a(n-16) -56228*a(n-17) +315232*a(n-18) +434436*a(n-19) -23128*a(n-20) -587445*a(n-21) -525616*a(n-22) +114683*a(n-23) +585048*a(n-24) +411465*a(n-25) -56835*a(n-26) -288031*a(n-27) -202342*a(n-28) -30237*a(n-29) +41019*a(n-30) +28015*a(n-31) -5913*a(n-32) -9403*a(n-33) +42968*a(n-34) +67174*a(n-35) +33074*a(n-36) -48809*a(n-37) -68179*a(n-38) -16698*a(n-39) +34471*a(n-40) +28007*a(n-41) +85*a(n-42) -12424*a(n-43) -2982*a(n-44) +975*a(n-45) +1094*a(n-46) -263*a(n-47) -6*a(n-48) -7*a(n-49) -17*a(n-50) -7*a(n-51) +24*a(n-52) +22*a(n-53) +10*a(n-54) -4*a(n-55) -2*a(n-56)

Example

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

Crossrefs

Sequence in context: A330533 A363253 A101095 * A219851 A339992 A320885

Adjacent sequences: A232400 A232401 A232402 * A232404 A232405 A232406

Keyword

nonn

Author

R. H. Hardin, Nov 23 2013

Status

approved