A250977 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

4459, 260056, 15156945, 883387252, 51487962431, 3000977166321, 174911850250602, 10194729848690817, 594199424464797450, 34632890029684972761, 2018576627576734108787, 117652658998515320537660

Offset

1,1

Comments

Column 3 of A250982

Links

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

Formula

Empirical: a(n) = 81*a(n-1) -1684*a(n-2) +25348*a(n-3) -291723*a(n-4) +2424044*a(n-5) -15158818*a(n-6) +72317084*a(n-7) -255573416*a(n-8) +577878414*a(n-9) -163185020*a(n-10) -5109887649*a(n-11) +25157774093*a(n-12) -71367808333*a(n-13) +137995625151*a(n-14) -181844817574*a(n-15) +136162696861*a(n-16) +29883755630*a(n-17) -265402122592*a(n-18) +470072312498*a(n-19) -567382408955*a(n-20) +541266269549*a(n-21) -424227412036*a(n-22) +271877339590*a(n-23) -139592889535*a(n-24) +56061838432*a(n-25) -16978905986*a(n-26) +3547582620*a(n-27) -264772260*a(n-28) -77711536*a(n-29) +18671292*a(n-30) -1409504*a(n-31) -189020*a(n-32) +74448*a(n-33) +960*a(n-34)

Example

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

Crossrefs

Sequence in context: A235015 A185767 A089202 * A289513 A345590 A345848

Adjacent sequences: A250974 A250975 A250976 * A250978 A250979 A250980

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved