A183957 Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i) equal to n*36

1, 7, 26, 78, 180, 398, 770, 1387, 2330, 3738, 5772, 8599, 12396, 17488, 24122, 32632, 43334, 56754, 73278, 93477, 117791, 147036, 181786, 222869, 270904, 327053, 392108, 467146, 553100, 651442, 763249, 889952, 1032752, 1193547, 1373708

Offset

1,2

Comments

Row 6 of A183953

Links

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

Formula

Empirical: a(n)=a(n-1)+a(n-4)-a(n-5)+a(n-9)-a(n-10)-a(n-13)+a(n-14)+a(n-16)-a(n-17)-a(n-20)+a(n-21)-a(n-34)+a(n-35)+a(n-36)-a(n-37)+a(n-38)-a(n-39)-a(n-40)+a(n-42)+a(n-49)-a(n-51)-a(n-52)+a(n-53)-a(n-54)+a(n-55)+a(n-56)-a(n-57)+a(n-70)-a(n-71)-a(n-74)+a(n-75)+a(n-77)-a(n-78)-a(n-81)+a(n-82)-a(n-86)+a(n-87)+a(n-90)-a(n-91)

Example

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

Crossrefs

Sequence in context: A227021 A180669 A027964 * A078501 A247557 A027937

Adjacent sequences: A183954 A183955 A183956 * A183958 A183959 A183960

Keyword

nonn

Author

R. H. Hardin Jan 08 2011

Status

approved