A211462 - OEIS

A211462

Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having one, two or three distinct values for every i<=n and j<=n

25, 65, 169, 407, 977, 2283, 5313, 12259, 28253, 65023, 149817, 345739, 799821, 1855467, 4317293, 10077003, 23592677, 55403427, 130474345, 308095007, 729314485, 1730363331, 4113892073, 9798957667, 23379161753, 55863031875

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OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -a(n-2) -55*a(n-3) +70*a(n-4) +193*a(n-5) -357*a(n-6) -320*a(n-7) +802*a(n-8) +238*a(n-9) -922*a(n-10) -39*a(n-11) +533*a(n-12) -29*a(n-13) -136*a(n-14) +6*a(n-15) +12*a(n-16)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A033682 A020283 A350207 * A350233 A278855 A137186

Adjacent sequences: A211459 A211460 A211461 * A211463 A211464 A211465

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 12 2012

STATUS

approved