A251430 Number of length 3+2 0..n 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

12, 97, 380, 1113, 2532, 5097, 9120, 15449, 24344, 36877, 53400, 75541, 103332, 138857, 182012, 235645, 299348, 376229, 465720, 572073, 693956, 836041, 996988, 1182653, 1390604, 1627337, 1890212, 2187213, 2514672, 2880669, 3281476, 3727513

Offset

1,1

Comments

Row 3 of A251428

Links

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

Formula

Empirical: a(n) = -2*a(n-1) -4*a(n-2) -5*a(n-3) -5*a(n-4) -2*a(n-5) +3*a(n-6) +10*a(n-7) +17*a(n-8) +21*a(n-9) +21*a(n-10) +14*a(n-11) +3*a(n-12) -13*a(n-13) -27*a(n-14) -38*a(n-15) -40*a(n-16) -34*a(n-17) -19*a(n-18) +19*a(n-20) +34*a(n-21) +40*a(n-22) +38*a(n-23) +27*a(n-24) +13*a(n-25) -3*a(n-26) -14*a(n-27) -21*a(n-28) -21*a(n-29) -17*a(n-30) -10*a(n-31) -3*a(n-32) +2*a(n-33) +5*a(n-34) +5*a(n-35) +4*a(n-36) +2*a(n-37) +a(n-38)

Example

Some solutions for n=10
.10....6....6....1...10....6...10....6....6....8....0....5....6....2....1....8
..4....8....7....0....6....2....6....4....5....4....8....9...10....6....5....6
..6....5....9....1....7....5....6....7....2....5....5....1....3....5....4....8
.10....9....7....9....0....4....4....9....3....2...10....2....9....9....2....4
..2....4...10....2....5....0...10....8....2....5....3....9....4....9....9....7

Crossrefs

Sequence in context: A219438 A219139 A059375 * A027255 A121791 A016753

Adjacent sequences: A251427 A251428 A251429 * A251431 A251432 A251433

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved