Triangle T(n, k) giving coefficients in expansion of n! * Sum_{i=0..n} binomial(x - n, i) in powers of x.

A054649

Triangle T(n, k) giving coefficients in expansion of n! * Sum_{i=0..n} binomial(x - n, i) in powers of x.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =-3a(5) =4a(6) =1a(7) =-9a(8) =32a(9) =-36a(10) =1a(11) =-18a(12) =131a(13) =-426a(14) =528a(15) =1a(16) =-30a(17) =375a(18) =-2370a(19) =7544a(20) =-9600a(21) =1a(22) =-45a(23) =865a(24) =-8955a(25) =52414a(26) =-163800a(27) =213120a(28) =1a(29) =-63

External references