A184709 Number of strings of numbers x(i=1..9) in 0..n with sum i*x(i) equal to n*9

8, 91, 580, 2574, 8939, 26146, 67105, 155645, 332729, 665317, 1257898, 2268061, 3925640, 6557703, 10618287, 16725802, 25706637, 38648840, 56963074, 82456645, 117416301, 164706836, 227880334, 311304767, 420304310, 561323415, 742104234

Offset

1,1

Comments

Row 9 of A184703

Links

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

Formula

Empirical: a(n)=a(n-1)+a(n-2)+a(n-3)-a(n-4)-2*a(n-5)-a(n-7)+a(n-8)-a(n-9)+a(n-10)+a(n-11)+3*a(n-12)+a(n-13)-a(n-14)-a(n-15)-2*a(n-16)-a(n-17)-3*a(n-18)+3*a(n-21)+a(n-22)+2*a(n-23)+a(n-24)+a(n-25)-a(n-26)-3*a(n-27)-a(n-28)-a(n-29)+a(n-30)-a(n-31)+a(n-32)+2*a(n-34)+a(n-35)-a(n-36)-a(n-37)-a(n-38)+a(n-39)

Example

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

Crossrefs

Sequence in context: A319174 A034667 A116149 * A190943 A180912 A234280

Adjacent sequences: A184706 A184707 A184708 * A184710 A184711 A184712

Keyword

nonn

Author

R. H. Hardin Jan 20 2011

Status

approved