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A202078 Number of arrays of 7 integers in -n..n with sum zero and the sum of every adjacent pair being odd 1
6, 96, 1014, 3752, 15010, 35604, 95342, 181834, 390544, 654086, 1221708, 1876930, 3183404, 4598874, 7268148, 10026924, 15014418, 19984692, 28678218, 37094052, 51428190, 64980344, 87564274, 108501126, 142759916, 173998474, 224327824 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A202076

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +6*a(n-2) -6*a(n-3) -15*a(n-4) +15*a(n-5) +20*a(n-6) -20*a(n-7) -15*a(n-8) +15*a(n-9) +6*a(n-10) -6*a(n-11) -a(n-12) +a(n-13)

EXAMPLE

Some solutions for n=3

..1...-1....3....1...-3...-3....3....3....1...-3....1....1....3...-1...-1...-1

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

..1....1....1...-1....1...-1...-3....1...-3....1....1....3....1....1....3...-1

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

.-3....1....1....1....1....3....3....3...-1....3...-3...-3...-3....3...-1...-1

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

.-1...-3...-3....1....1....3....3...-1....1....1....1....1....1....1....1....1

CROSSREFS

Sequence in context: A030989 A288845 A006044 * A227262 A001805 A139743

Adjacent sequences:  A202075 A202076 A202077 * A202079 A202080 A202081

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 10 2011

STATUS

approved

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Last modified March 26 22:42 EDT 2019. Contains 321565 sequences. (Running on oeis4.)