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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 1
0, 404, 854, 10296, 37844, 290174, 1362488, 8774626, 45926642, 275463688, 1510531582, 8783115912, 49130660464, 281836576008, 1590115421874, 9069855844118, 51364113537584, 292267799222808, 1657869627853838 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 4 15:53 EDT 2021. Contains 346447 sequences. (Running on oeis4.)