Triangle read by rows: T(n,k) = coefficient of x^k in the polynomial p[n,x] defined by p[0,x]=1, p[1,x]=1+x and p[n,x]=(1+x)(2-x)(3-x)...(n-x) for n >= 2 (0 <= k <= n).
A123361
Triangle read by rows: T(n,k) = coefficient of x^k in the polynomial p[n,x] defined by p[0,x]=1, p[1,x]=1+x and p[n,x]=(1+x)(2-x)(3-x)...(n-x) for n >= 2 (0 <= k <= n).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =-1a(6) =6a(7) =1a(8) =-4a(9) =1a(10) =24a(11) =-2a(12) =-17a(13) =8a(14) =-1a(15) =120a(16) =-34a(17) =-83a(18) =57a(19) =-13a(20) =1a(21) =720a(22) =-324a(23) =-464a(24) =425a(25) =-135a(26) =19a(27) =-1a(28) =5040a(29) =-2988
External references
- oeis: A123361