

A196643


Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4


1



1, 17, 116, 667, 4273, 25118, 160347, 983193, 6087268, 37645887, 232843313, 1440449688, 8908661143, 55104054837, 340834463434, 2108162310301, 13039609400629, 80653777800732, 498867623140685, 3085643335339211
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 2's
Column 5 of A196646


LINKS

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


FORMULA

Empirical: a(n) = 2*a(n1) +16*a(n2) +43*a(n3) +95*a(n4) +148*a(n5) 188*a(n6) 431*a(n7) +132*a(n8) +150*a(n9) 65*a(n11) +62*a(n12) 107*a(n13) +45*a(n14) +24*a(n15) 4*a(n16) a(n17) a(n18)


EXAMPLE

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


CROSSREFS

Sequence in context: A070144 A070209 A070136 * A196598 A222370 A032692
Adjacent sequences: A196640 A196641 A196642 * A196644 A196645 A196646


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 04 2011


STATUS

approved



