A185637 Number of (n+1)X2 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

0, 404, 854, 10296, 37844, 290174, 1362488, 8774626, 45926642, 275463688, 1510531582, 8783115912, 49130660464, 281836576008, 1590115421874, 9069855844118, 51364113537584, 292267799222808, 1657869627853838

Offset

1,2

Comments

Column 1 of A185640

Links

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

Formula

Empirical: a(n)=10*a(n-1)-11*a(n-2)-181*a(n-3)+913*a(n-4)-2534*a(n-5)+5804*a(n-6)-6040*a(n-7)-63917*a(n-8)+416786*a(n-9)-1628376*a(n-10)+4152240*a(n-11)-5982480*a(n-12)-534528*a(n-13)+38863872*a(n-14)-100047744*a(n-15)+170726400*a(n-16)-135198720*a(n-17)+75644928*a(n-18)

Example

Some solutions for 3X2
..1..2....3..0....3..2....0..2....1..2....3..1....3..3....2..1....2..0....2..2
..2..3....2..1....2..1....1..1....0..0....2..1....3..3....0..0....2..1....0..0
..2..3....2..3....2..1....2..0....2..1....1..1....0..0....2..3....1..1....1..1

Crossrefs

Sequence in context: A097741 A117836 A185640 * A234675 A135791 A187382

Adjacent sequences: A185634 A185635 A185636 * A185638 A185639 A185640

Keyword

nonn

Author

R. H. Hardin Feb 01 2011

Status

approved