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
Keywords
Examples
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
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
Comments