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A302411
Number of n X 4 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1
8, 37, 66, 259, 994, 3548, 12442, 46066, 166341, 602444, 2183411, 7921498, 28715036, 104088155, 377401980, 1368277734, 4960546524, 17984375837, 65202131367, 236388514292, 857019649393, 3107104187360, 11264728756777, 40839980788401
OFFSET
1,1
COMMENTS
Column 4 of A302415.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +4*a(n-2) +a(n-3) -17*a(n-4) -39*a(n-5) -18*a(n-6) +96*a(n-7) +133*a(n-8) -a(n-9) -37*a(n-10) -239*a(n-11) -212*a(n-12) -10*a(n-13) +191*a(n-14) +299*a(n-15) -38*a(n-16) +62*a(n-17) +145*a(n-18) -218*a(n-19) -77*a(n-20) +21*a(n-21) -202*a(n-22) +25*a(n-23) +144*a(n-24) +19*a(n-25) -53*a(n-26) +2*a(n-27) +22*a(n-28) -5*a(n-29) +4*a(n-30) -4*a(n-31) for n>33.
EXAMPLE
Some solutions for n=5
..0..1..1..0. .0..0..1..1. .0..1..1..1. .0..1..0..0. .0..0..1..0
..0..1..1..0. .1..0..0..0. .0..0..0..0. .0..1..0..1. .1..0..1..0
..0..0..0..0. .1..0..1..0. .0..1..0..1. .0..1..0..1. .1..0..1..0
..0..0..0..0. .0..0..1..0. .1..1..0..1. .0..0..0..0. .1..1..0..0
..0..1..1..0. .1..1..0..1. .1..0..0..0. .0..1..1..1. .1..0..1..0
CROSSREFS
Cf. A302415.
Sequence in context: A110215 A281465 A302619 * A303178 A250168 A244870
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 07 2018
STATUS
approved