A184706 Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i) equal to n*6

4, 21, 74, 207, 476, 985, 1842, 3226, 5325, 8414, 12766, 18789, 26860, 37525, 51301, 68893, 90956, 118400, 152035, 192973, 242223, 301121, 370866, 453070, 549139, 660950, 790169, 938961, 1109233, 1303498, 1523921, 1773345, 2054255, 2369845

Offset

1,1

Comments

Row 6 of A184703

Links

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

Formula

Empirical: a(n)=3*a(n-2)+2*a(n-3)-3*a(n-4)-5*a(n-5)+3*a(n-7)+a(n-8)+a(n-9)+3*a(n-10)-5*a(n-12)-3*a(n-13)+2*a(n-14)+3*a(n-15)-a(n-17)

Example

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

Crossrefs

Sequence in context: A359065 A095668 A078800 * A034960 A240372 A157493

Adjacent sequences: A184703 A184704 A184705 * A184707 A184708 A184709

Keyword

nonn

Author

R. H. Hardin Jan 20 2011

Status

approved