A202968 Number of arrays of 8 integers in -n..n with sum zero and adjacent elements differing in absolute value

12, 1724, 47732, 447528, 2475008, 9824176, 31155004, 84017312, 200493156, 434793200, 873257136, 1646890444, 2946873064, 5043331924, 8307662160, 13238602092, 20492707704, 30919086656, 45598979576, 65890555856, 93479027928

Offset

1,1

Comments

Row 6 of A202962

Links

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

Formula

Empirical: a(n) = a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -4*a(n-6) -4*a(n-7) -3*a(n-8) +a(n-9) +5*a(n-10) +6*a(n-11) +5*a(n-12) -2*a(n-14) -5*a(n-15) -4*a(n-16) -5*a(n-17) -2*a(n-18) +5*a(n-20) +6*a(n-21) +5*a(n-22) +a(n-23) -3*a(n-24) -4*a(n-25) -4*a(n-26) -a(n-27) +a(n-28) +3*a(n-29) +a(n-30) -a(n-32)

Example

Some solutions for n=3
..2....1....3....2....2....3....2....2....0....0....1...-1....0....1....1...-1
.-3....3....0....1...-3....0....1....3....2....2....0....0...-2....0....0....0
.-1...-2...-1....3....2...-1...-3....1...-3...-1....2....3....3....2....3....2
..0...-3....0...-2...-1...-2....0...-2....1....2....0....2....0...-3...-2....1
..2....1...-3....1....2....3....2...-1....3....0...-2...-3...-3....0....0...-3
.-1...-2....0...-3...-3....0....0....0...-2...-2...-3....0....1...-3...-3....0
.-2....3....3....0....1...-1...-3...-2....0...-3...-1...-3....0....0...-2...-1
..3...-1...-2...-2....0...-2....1...-1...-1....2....3....2....1....3....3....2

Crossrefs

Sequence in context: A146201 A009120 A078928 * A013717 A252767 A015485

Adjacent sequences: A202965 A202966 A202967 * A202969 A202970 A202971

Keyword

nonn

Author

R. H. Hardin Dec 26 2011

Status

approved