Euler's difference table: triangle read by rows, formed by starting with factorial numbers (A000142) and repeatedly taking differences. T(n,n) = n!, T(n,k) = T(n,k+1) - T(n-1,k).

A068106

Euler's difference table: triangle read by rows, formed by starting with factorial numbers (A000142) and repeatedly taking differences. T(n,n) = n!, T(n,k) = T(n,k+1) - T(n-1,k).

Terms

    a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =2a(6) =2a(7) =3a(8) =4a(9) =6a(10) =9a(11) =11a(12) =14a(13) =18a(14) =24a(15) =44a(16) =53a(17) =64a(18) =78a(19) =96a(20) =120a(21) =265a(22) =309a(23) =362a(24) =426a(25) =504a(26) =600a(27) =720a(28) =1854a(29) =2119

External references