A184708 Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i) equal to n*8

6, 58, 304, 1169, 3571, 9353, 21713, 46037, 90595, 167917, 295811, 499442, 812681, 1281088, 1963602, 2936595, 4295937, 6162309, 8683612, 12041794, 16455557, 22188902, 29554150, 38922422, 50726886, 65475486, 83754336, 106242925

Offset

1,1

Comments

Row 8 of A184703

Links

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

Formula

Empirical: a(n)=2*a(n-2)+2*a(n-3)-3*a(n-5)-3*a(n-6)-a(n-7)+2*a(n-8)+2*a(n-9)-a(n-11)+a(n-12)+3*a(n-13)+2*a(n-14)-3*a(n-16)-4*a(n-17)-3*a(n-18)+2*a(n-20)+3*a(n-21)+a(n-22)-a(n-23)+2*a(n-25)+2*a(n-26)-a(n-27)-3*a(n-28)-3*a(n-29)+2*a(n-31)+2*a(n-32)-a(n-34)

Example

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

Crossrefs

Sequence in context: A034237 A291628 A197543 * A004301 A223030 A292574

Adjacent sequences: A184705 A184706 A184707 * A184709 A184710 A184711

Keyword

nonn

Author

R. H. Hardin Jan 20 2011

Status

approved