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A198711 Number of n X 4 0..3 arrays with values 0..3 introduced in row major order and no element equal to any horizontal or vertical neighbor. 2
5, 172, 6548, 250031, 9548295, 364637102, 13925032958, 531779578441, 20307996787865, 775536991678112, 29616787512285048, 1131028064429979731, 43192546862380323515, 1649469330720040937602, 62991170251091380482818 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A198715.

LINKS

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

FORMULA

Empirical: a(n) = 46*a(n-1) - 312*a(n-2) + 530*a(n-3) - 263*a(n-4).

Empirical g.f.: x*(5 - 58*x + 196*x^2 - 163*x^3) / ((1 - x)*(1 - 45*x + 267*x^2 - 263*x^3)). - Colin Barker, Mar 02 2018

EXAMPLE

Some solutions with all values from 0 to 3 for n=5:

..0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1....0..1..0..1

..1..0..2..0....1..0..1..2....1..0..1..2....1..0..1..0....1..0..1..0

..0..2..0..3....2..1..3..1....3..1..0..1....2..1..0..3....2..1..3..1

..2..1..2..0....1..2..0..3....1..0..3..0....3..2..1..0....3..0..1..3

..1..2..1..2....2..3..1..2....2..1..0..1....2..1..3..2....2..3..0..1

CROSSREFS

Cf. A198715.

Sequence in context: A210832 A206393 A220640 * A210927 A139986 A123111

Adjacent sequences:  A198708 A198709 A198710 * A198712 A198713 A198714

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 29 2011

STATUS

approved

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Last modified November 18 09:55 EST 2019. Contains 329261 sequences. (Running on oeis4.)