

A196574


Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,3,0,4 for x=0,1,2,3,4


1



1, 7, 37, 145, 971, 4787, 24837, 134167, 700787, 3689127, 19500651, 102652203, 541025795, 2852510953, 15032123527, 79230081799, 417611039473, 2201042540865, 11601003412043, 61145318600329, 322275993958125, 1698611779257449
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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 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
Column 4 of A196578


LINKS

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


FORMULA

Empirical: a(n) = 2*a(n1) +9*a(n2) +39*a(n3) +20*a(n4) +12*a(n5) +32*a(n6) 17*a(n7) +a(n8) 4*a(n9) +a(n10)


EXAMPLE

Some solutions for n=5
..0..0..0..0....0..0..3..0....0..3..0..0....0..0..0..0....0..0..3..0
..0..3..0..0....3..0..0..3....0..0..0..0....0..0..0..3....0..0..0..0
..0..3..0..0....0..0..0..0....0..3..3..0....0..3..2..0....0..0..0..0
..0..0..0..0....0..0..0..3....3..0..0..0....0..0..3..0....0..0..0..0
..0..3..0..0....0..0..0..0....0..3..0..0....0..3..0..0....0..0..0..0


CROSSREFS

Sequence in context: A243893 A012885 A162541 * A094729 A202659 A202119
Adjacent sequences: A196571 A196572 A196573 * A196575 A196576 A196577


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 04 2011


STATUS

approved



