:: deftheorem Def3 defines der_seq CARDFIN2:def 3 :
for b1 being sequence of INT holds
( b1 = der_seq iff ( b1 . 0 = 1 & b1 . 1 = 0 & ( for n being Nat holds b1 . (n + 2) = (n + 1) * ((b1 . n) + (b1 . (n + 1))) ) ) );