

A197369


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


1



1, 7, 45, 161, 899, 4023, 19387, 92169, 436539, 2077281, 9861263, 46848707, 222547181, 1057107041, 5021579939, 23853406065, 113308835575, 538241104209, 2556757711375, 12145141483565, 57691981461499, 274049091332625
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's.
Column 4 of A197373.


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210


FORMULA

Empirical: a(n) = 2*a(n1) +10*a(n2) +18*a(n3) 7*a(n4) 33*a(n5) 58*a(n6) +13*a(n7) +22*a(n8) 31*a(n9) +18*a(n10) 3*a(n11).


EXAMPLE

Some solutions containing all values 0 to 4 for n=5
..0..0..1..2....0..0..0..0....0..0..1..2....2..1..0..0....0..0..1..2
..0..1..4..1....0..0..0..0....0..1..4..1....1..4..1..0....0..1..4..1
..3..0..1..0....0..1..0..3....3..0..1..0....0..1..0..0....3..0..1..0
..0..0..3..0....1..4..1..0....0..0..3..0....3..0..0..3....0..0..0..3
..0..3..0..0....2..1..0..0....0..0..0..0....0..0..3..0....0..0..0..0


CROSSREFS

Cf. A197373.
Sequence in context: A212105 A208826 A206808 * A059937 A278682 A342568
Adjacent sequences: A197366 A197367 A197368 * A197370 A197371 A197372


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 14 2011


STATUS

approved



