A185919 Number of (n+1)X2 0..3 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

256, 3516, 49342, 687900, 9599032, 133932498, 1868731400, 26074015256, 363805229334, 5076097479776, 70825715574254, 988216243835574, 13788372439454958, 192386247156430148, 2684324655228015934

Offset

1,1

Comments

Column 1 of A185923

Links

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

Formula

Empirical: a(n)=6*a(n-1)+66*a(n-2)+461*a(n-3)+1836*a(n-4)+5728*a(n-5)+12892*a(n-6)+21504*a(n-7)+23266*a(n-8)+7230*a(n-9)-27944*a(n-10)-63965*a(n-11)-75166*a(n-12)-58649*a(n-13)-25842*a(n-14)+2124*a(n-15)+27222*a(n-16)+67271*a(n-17)+71840*a(n-18)+10072*a(n-19)-39844*a(n-20)-8317*a(n-21)+7710*a(n-22)+7968*a(n-23)+3189*a(n-24)-30*a(n-25)-562*a(n-26)-1092*a(n-27) for n>28

Example

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

Crossrefs

Sequence in context: A185925 A205281 A185923 * A259320 A247931 A186200

Adjacent sequences: A185916 A185917 A185918 * A185920 A185921 A185922

Keyword

nonn

Author

R. H. Hardin Feb 06 2011

Status

approved