Triangle read by rows in which row n gives coefficients of polynomial f_n(x)/(n+1) of degree less than n that satisfies Integral_{x=0..1} g(t - x) * f_n(x) dx = g(t) for any polynomial g(x) of degree less than n.

A303700

Triangle read by rows in which row n gives coefficients of polynomial f_n(x)/(n+1) of degree less than n that satisfies Integral_{x=0..1} g(t - x) * f_n(x) dx = g(t) for any polynomial g(x) of degree less than n.

Terms

    a(0) =1a(1) =2a(2) =-3a(3) =3a(4) =-12a(5) =10a(6) =4a(7) =-30a(8) =60a(9) =-35a(10) =5a(11) =-60a(12) =210a(13) =-280a(14) =126a(15) =6a(16) =-105a(17) =560a(18) =-1260a(19) =1260a(20) =-462a(21) =7a(22) =-168a(23) =1260a(24) =-4200a(25) =6930a(26) =-5544a(27) =1716a(28) =8a(29) =-252

External references