A251423 Number of length n+2 0..3 arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero

16, 116, 380, 1888, 7458, 31980, 127566, 520568, 2080650, 8370976, 33475854, 134136344, 536498498, 2147099168, 8588150878, 34357874584, 137430314336, 549746688148, 2198981195384, 8796047678504, 35184165954884, 140737260054372

Offset

1,1

Comments

Column 3 of A251428

Links

R. H. Hardin, Table of n, a(n) for n = 1..109

Formula

Empirical: a(n) = 11*a(n-1) -40*a(n-2) +28*a(n-3) +156*a(n-4) -332*a(n-5) +89*a(n-6) -263*a(n-7) +2117*a(n-8) -2247*a(n-9) -4433*a(n-10) +9779*a(n-11) -1921*a(n-12) +1315*a(n-13) -27632*a(n-14) +27440*a(n-15) +35510*a(n-16) -66532*a(n-17) +23084*a(n-18) -38208*a(n-19) +116256*a(n-20) -72640*a(n-21) -64384*a(n-22) +115840*a(n-23) -109312*a(n-24) +125184*a(n-25) -120064*a(n-26) +72704*a(n-27) -25600*a(n-28) +4096*a(n-29)

Example

Some solutions for n=7
..2....0....2....2....2....1....0....3....1....1....2....1....0....0....1....0
..2....3....3....0....3....2....2....1....0....1....2....1....0....0....0....0
..2....0....3....2....1....0....2....1....1....3....3....3....0....1....2....0
..1....3....3....3....1....1....0....3....1....0....2....0....1....3....2....1
..0....2....2....3....0....2....3....2....1....2....3....3....3....2....1....3
..2....2....3....0....2....0....0....2....3....1....1....0....1....1....1....3
..1....2....2....1....1....1....2....2....0....0....0....3....2....1....1....2
..0....2....2....2....0....0....2....1....2....3....3....0....2....0....1....2
..1....2....3....0....3....1....3....0....1....2....3....2....1....2....1....2

Crossrefs

Sequence in context: A293876 A044348 A044729 * A279163 A101377 A302897

Adjacent sequences: A251420 A251421 A251422 * A251424 A251425 A251426

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved