> 1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,12,48,176,444,420,2124,8056 > Number of permutations of 0..(n-1) representable as 1,4,6,4,1-weighted > consecutive sums of 5 adjacent elements of a sequence of n+4 non-negative > integers The next wieghting in the series, 1,5,10,10,5,1 , yields a(n)=1,2,2,0,0,0... with 0's through at least n=32