
theorem RH7:
  RHartr 7 = <*7,42,105,140,105,42,7*>
  proof
    reconsider f = RHartr 7 as 7-element FinSequence;
    reconsider g = Newton_Coeff (7-1) as (6+1)-element
      complex-valued FinSequence;
    A1: f.1 = 7*(g.1) & f.2 = 7*(g.2) & f.3 = 7*(g.3) &
      f.4 = 7*(g.4) & f.5 = 7*(g.5) & f.6 = 7*(g.6) & f.7 = 7*(g.7)
        by VALUED_1:6;
    g.1 = 1 & g.2 = 6 & g.3 = 15 & g.4 = 20 & g.5 = 15 & g.6 = 6 &
      g.7 = 1 by NC6;
    hence thesis by A1;
  end;
