A196599 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4

1, 41, 356, 2783, 26558, 231416, 2094496, 18642341, 166805183, 1491811906, 13337565807, 119258582414, 1066351624700, 9534830750496, 85255510379995, 762312159348785, 6816218483839040, 60947226122620585, 544959719572903884

Offset

1,2

Comments

Every 0 is next to 0 1's, every 1 is next to 1 2's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 3's

Column 6 of A196601

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +30*a(n-2) +109*a(n-3) +220*a(n-4) -288*a(n-5) -2307*a(n-6) -220*a(n-7) +5803*a(n-8) -6291*a(n-9) +1092*a(n-10) +11823*a(n-11) -28483*a(n-12) +30613*a(n-13) +61632*a(n-14) -101863*a(n-15) +24746*a(n-16) +88447*a(n-17) -208699*a(n-18) +213413*a(n-19) -136525*a(n-20) -18810*a(n-21) +106583*a(n-22) -61790*a(n-23) -18932*a(n-24) +23485*a(n-25) +2012*a(n-26) -1939*a(n-27) -617*a(n-28) -657*a(n-29) +416*a(n-30) +172*a(n-31) -77*a(n-32) -27*a(n-33) +a(n-34) +a(n-35)

Example

Some solutions for n=4
..0..3..0..0..0..0....0..0..0..3..0..0....0..0..0..0..0..0....0..0..3..0..3..0
..3..0..3..0..0..0....0..3..0..0..0..0....0..0..0..3..0..3....0..0..0..0..0..0
..0..0..3..0..0..0....0..3..0..0..0..0....0..0..0..3..0..0....3..0..3..3..0..3
..0..0..0..0..0..0....0..0..3..0..0..0....0..3..0..0..0..0....0..0..0..0..0..0

Crossrefs

Sequence in context: A268779 A142501 A196644 * A142571 A270884 A189438

Adjacent sequences: A196596 A196597 A196598 * A196600 A196601 A196602

Keyword

nonn

Author

R. H. Hardin Oct 04 2011

Status

approved