A230789 - OEIS

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A230789

Number of (n+3)X(1+3) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

144, 1024, 23104, 394384, 5475600, 84052224, 1326125056, 20301690256, 310824090256, 4792596640000, 73781640461376, 1134353447066896, 17451552419496976, 268530609869169664, 4131141192676642816

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 1 of A230796

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +43*a(n-2) +767*a(n-3) +2043*a(n-4) -9055*a(n-5) -43349*a(n-6) +219*a(n-7) +23245*a(n-8) -6325*a(n-9) +18361*a(n-10) -763*a(n-11) +2745*a(n-12) -213*a(n-13) -15*a(n-14) +a(n-15)

EXAMPLE

Some solutions for n=1

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

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

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

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

CROSSREFS

Sequence in context: A235957 A162669 A230796 * A165080 A165082 A165088

Adjacent sequences: A230786 A230787 A230788 * A230790 A230791 A230792

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 30 2013

STATUS

approved