A triangle sequence from coefficients of an infinite sum polynomial: p(x,n)=Sum[(n - k - 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^(x - n).

A176863

A triangle sequence from coefficients of an infinite sum polynomial: p(x,n)=Sum[(n - k - 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^(x - n).

Terms

    a(0) =1a(1) =0a(2) =-1a(3) =4a(4) =-3a(5) =1a(6) =64a(7) =-36a(8) =9a(9) =-1a(10) =1296a(11) =-650a(12) =147a(13) =-18a(14) =1a(15) =32768a(16) =-15440a(17) =3330a(18) =-415a(19) =30a(20) =-1a(21) =1000000a(22) =-452984a(23) =95070a(24) =-11915a(25) =945a(26) =-45a(27) =1a(28) =35831808a(29) =-15796032

External references