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A200195 Number of -n..n arrays x(0..5) of 6 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. 1
2, 54, 482, 2240, 7266, 18838, 41938, 83600, 153278, 263198, 428718, 668684, 1005790, 1466934, 2083578, 2892104, 3934174, 5257082, 6914122, 8964936, 11475878, 14520370, 18179258, 22541172, 27702886, 33769670, 40855654, 49084180 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A200192.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

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

Empirical g.f.: 2*x*(1 + 24*x + 162*x^2 + 452*x^3 + 782*x^4 + 999*x^5 + 1045*x^6 + 910*x^7 + 622*x^8 + 292*x^9 + 74*x^10 + 5*x^11) / ((1 - x)^6*(1 + x)*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)). - Colin Barker, May 20 2018

EXAMPLE

Some solutions for n=5:

..1...-5...-5....3...-4....0....0...-2...-3....2....4....3...-4...-4...-1....0

.-5....0....4...-2....3...-5...-3....1...-1...-1...-4...-3....4....5...-3....4

..0...-5...-3....3...-1....4....5...-5...-4....4....4....3...-3...-5....5...-3

.-4....5....5...-4....4...-3...-3....5....4...-4...-4...-3....0....3...-5...-1

..5....1...-2....1...-5....3....3...-1...-1....3....1....5...-2...-2....5...-4

..3....4....1...-1....3....1...-2....2....5...-4...-1...-5....5....3...-1....4

CROSSREFS

Cf. A200192.

Sequence in context: A280754 A113028 A331195 * A202739 A055024 A057411

Adjacent sequences:  A200192 A200193 A200194 * A200196 A200197 A200198

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 14 2011

STATUS

approved

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Last modified March 30 12:10 EDT 2020. Contains 333125 sequences. (Running on oeis4.)