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A202968 Number of arrays of 8 integers in -n..n with sum zero and adjacent elements differing in absolute value 1
12, 1724, 47732, 447528, 2475008, 9824176, 31155004, 84017312, 200493156, 434793200, 873257136, 1646890444, 2946873064, 5043331924, 8307662160, 13238602092, 20492707704, 30919086656, 45598979576, 65890555856, 93479027928 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 18 20:19 EDT 2020. Contains 337173 sequences. (Running on oeis4.)