A209104 Number of 5Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors

41, 4568, 407832, 34538488, 2896732704, 242632290432, 20321585350224, 1702054356798544, 142558373809744128, 11940239726878790824, 1000077375423933174600, 83763383343364383999032

Offset

1,1

Comments

Row 5 of A209100

Links

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

Formula

Empirical: a(n) = 171*a(n-1) -10470*a(n-2) +325569*a(n-3) -5715687*a(n-4) +56148167*a(n-5) -245912801*a(n-6) -484495146*a(n-7) +10078833115*a(n-8) -31788474833*a(n-9) -62614662381*a(n-10) +560437441681*a(n-11) -642115987254*a(n-12) -2499011458897*a(n-13) +6268700558495*a(n-14) +963700261876*a(n-15) -12620524925764*a(n-16) +6372190291752*a(n-17) +1053712106560*a(n-18) -1060563638688*a(n-19) +11585781964416*a(n-20) +5647581956608*a(n-21) -36276070293504*a(n-22) +23488582508544*a(n-23) +1781937340416*a(n-24) -5735198490624*a(n-25) +1426902220800*a(n-26) for n>29

Example

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

Crossrefs

Sequence in context: A068815 A093174 A280677 * A233079 A159992 A101830

Adjacent sequences: A209101 A209102 A209103 * A209105 A209106 A209107

Keyword

nonn

Author

R. H. Hardin Mar 05 2012

Status

approved