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A200554
Number of -n..n arrays x(0..3) of 4 elements with zero sum and nonzero second differences.
1
14, 76, 200, 446, 836, 1368, 2134, 3140, 4368, 5942, 7852, 10064, 12734, 15836, 19320, 23374, 27956, 33000, 38726, 45076, 51968, 59654, 68060, 77088, 87022, 97772, 109224, 121694, 135076, 149240, 164534, 180836, 198000, 216406, 235916, 256368
OFFSET
1,1
COMMENTS
Row 2 of A200553.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-3) -4*a(n-4) +2*a(n-5) -a(n-6) +2*a(n-7) -a(n-8).
Empirical g.f.: 2*x*(7 + 24*x + 31*x^2 + 47*x^3 + 24*x^4 + 9*x^5 + 2*x^6) / ((1 - x)^4*(1 + x + x^2)^2). - Colin Barker, May 21 2018
EXAMPLE
Some solutions for n=3:
.-2....2....2...-1....2...-3...-2...-2....1...-3....0...-1....1....2...-2....2
..1...-3...-2....0...-1....3...-1....1....0....3...-1...-1...-2...-2...-1....1
..2....1....0...-1....0....2....3...-2....1...-1....2....1....0...-3....2...-3
.-1....0....0....2...-1...-2....0....3...-2....1...-1....1....1....3....1....0
CROSSREFS
Cf. A200553.
Sequence in context: A093567 A296996 A270704 * A152100 A173962 A200547
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 19 2011
STATUS
approved