The r-th term of the n-th row of the following triangle contains product of r successive numbers in decreasing order beginning from T(n)-T(r-1) where T(n) is the n-th triangular number. 1 3 2 6 20 6 10 72 210 24 15 182 1320 3024 120 ... Sequence contains the triangle by rows.
A110768
The r-th term of the n-th row of the following triangle contains product of r successive numbers in decreasing order beginning from T(n)-T(r-1) where T(n) is the n-th triangular number. 1 3 2 6 20 6 10 72 210 24 15 182 1320 3024 120 ... Sequence contains the triangle by rows.
Terms
- a(0) =1a(1) =3a(2) =2a(3) =6a(4) =20a(5) =6a(6) =10a(7) =72a(8) =210a(9) =24a(10) =15a(11) =182a(12) =1320a(13) =3024a(14) =120a(15) =21a(16) =380a(17) =4896a(18) =32760a(19) =55440a(20) =720a(21) =28a(22) =702a(23) =13800a(24) =175560a(25) =1028160a(26) =1235520a(27) =5040a(28) =36a(29) =1190
External references
- oeis: A110768