A185849 Number of (n+1)X3 0..2 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

630, 11610, 215880, 4004914, 74358926, 1380412312, 25625942242, 475728999902, 8831529274288, 163950562398426, 3043616539513970, 56502397501376376, 1048923589807240594, 19472460036409387670, 361491250199327640676

Offset

1,1

Comments

Column 2 of A185856

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=8*a(n-1)+106*a(n-2)+1154*a(n-3)+7341*a(n-4)+38354*a(n-5)+75897*a(n-6)+26908*a(n-7)+363811*a(n-8)-971504*a(n-9)-6880482*a(n-10)-1595117*a(n-11)+13890723*a(n-12)-50693559*a(n-13)-54673009*a(n-14)+185578667*a(n-15)-214035759*a(n-16)-910901251*a(n-17)+1570495381*a(n-18)+2337237818*a(n-19)-6890840995*a(n-20)-7626185862*a(n-21)+18279944018*a(n-22)+20105596552*a(n-23)-48993202848*a(n-24)-29327197968*a(n-25)+67685629696*a(n-26)+13126132416*a(n-27)-29811833984*a(n-28)-9414272512*a(n-29)-22788287488*a(n-30)+12806834176*a(n-31)+16026865664*a(n-32)-6554771456*a(n-33)-1887731712*a(n-34)+627769344*a(n-35)+55836672*a(n-36)

Example

Some solutions for 5X3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....1..0..0....0..0..1....0..2..0....0..0..1....1..0..0....2..0..1
..2..1..0....2..2..1....1..2..0....0..2..1....0..2..0....2..1..0....0..1..1
..1..2..0....0..2..2....2..1..2....1..0..1....2..2..2....2..0..2....0..0..1
..1..2..2....1..1..0....0..0..0....2..2..2....0..2..2....1..2..2....1..2..2

Crossrefs

Sequence in context: A171258 A234245 A234241 * A058832 A366489 A225390

Adjacent sequences: A185846 A185847 A185848 * A185850 A185851 A185852

Keyword

nonn

Author

R. H. Hardin Feb 05 2011

Status

approved