A183957 - OEIS

%I #5 Mar 31 2012 12:35:55

%S 1,7,26,78,180,398,770,1387,2330,3738,5772,8599,12396,17488,24122,

%T 32632,43334,56754,73278,93477,117791,147036,181786,222869,270904,

%U 327053,392108,467146,553100,651442,763249,889952,1032752,1193547,1373708

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

%C Row 6 of A183953

%H R. H. Hardin, <a href="/A183957/b183957.txt">Table of n, a(n) for n = 1..200</a>

%F 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)

%e Some solutions for n=3

%e ..1....0....1....0....0....0....0....0....3....3....3....2....2....2....3....0

%e ..0....1....2....1....0....1....2....2....3....3....3....0....1....1....2....2

%e ..0....3....3....2....0....0....1....2....3....2....0....1....2....0....0....3

%e ..2....1....0....0....0....2....1....2....1....0....2....0....3....1....0....3

%e ..3....1....0....2....0....0....3....2....2....3....1....1....0....2....1....1

%e ..0....1....2....1....3....2....0....0....0....0....1....2....1....1....2....0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 08 2011