453663domain: NAppears in sequencesa(n) = n*(n+1)*(n+2)*(n+3)*(1+3*n+n^2)/120.at n=17A101094Number of reduced words of length n in the infinite affine Weyl group (E_6)^{~} on 7 generators.at n=26A161410Rectified hexateron (5-simplex) numbers: the coefficient of x^(2n-2) in (1+x+x^2+...+x^(n-1))^6.at n=18A179096