login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A187597
Number of (n+2)X3 0..2 arrays with no 2X2 subblock sum equal to any diagonal or antidiagonal neighbor 2X2 subblock sum
1
12780, 226450, 4034228, 71799716, 1277660426, 22737087954, 404628180446, 7200721963324, 128143309080518, 2280425597710644, 40582226931510876, 722197265643541486, 12852150564182578146, 228715590684800201626
OFFSET
1,1
COMMENTS
Column 1 of A187600
LINKS
FORMULA
Empirical: a(n)=16*a(n-1)+71*a(n-2)-616*a(n-3)-904*a(n-4)-8872*a(n-5)-33989*a(n-6)+574033*a(n-7)+775616*a(n-8)-1883974*a(n-9)+296483*a(n-10)-140181657*a(n-11)-875706*a(n-12)+954733113*a(n-13)-1591286403*a(n-14)+10945523532*a(n-15)-7290946508*a(n-16)-11915786428*a(n-17)+293395191936*a(n-18)-1069937952350*a(n-19)+976880404058*a(n-20)-4609467966964*a(n-21)-19659039033474*a(n-22)+64696670680992*a(n-23)-58191888492780*a(n-24)+255055177972890*a(n-25)+464129282692630*a(n-26)-1035318571998296*a(n-27)+1491624580366724*a(n-28)-6718008533638416*a(n-29)-3137102050636752*a(n-30)+5177167170880944*a(n-31)-22119543601823344*a(n-32)+66719496830128864*a(n-33)+8733737760065408*a(n-34)+5348763177296128*a(n-35)+162543746480293248*a(n-36)-398066720734596096*a(n-37)-170440078680101376*a(n-38)+375109194090386432*a(n-39)+74923671663790080*a(n-40)+288125979181375488*a(n-41)-506110954365198336*a(n-42)-167331252967759872*a(n-43)+400191961922813952*a(n-44)-44554431815811072*a(n-45)-121626085508775936*a(n-46)+65214074008240128*a(n-47)-13017224586461184*a(n-48)+525044724793344*a(n-49)
EXAMPLE
Some solutions for 4X3
..0..0..0....1..0..0....1..0..2....0..0..1....0..0..0....0..0..1....0..0..1
..2..2..1....0..0..1....1..0..0....1..2..1....2..1..0....0..1..2....0..2..0
..2..1..2....0..0..1....0..2..2....2..2..2....0..1..2....0..2..0....0..2..2
..0..0..2....2..2..1....2..2..0....0..2..0....0..2..0....2..2..2....2..1..2
CROSSREFS
Sequence in context: A210105 A235720 A187600 * A203273 A217184 A184784
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 11 2011
STATUS
approved