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.

1, 3, 2, 6, 20, 6, 10, 72, 210, 24, 15, 182, 1320, 3024, 120, 21, 380, 4896, 32760, 55440, 720, 28, 702, 13800, 175560, 1028160, 1235520, 5040, 36, 1190, 32736, 657720, 7893600, 39070080, 32432400, 40320, 45, 1892, 68880, 1974024, 38955840

Offset

1,2

Comments

The first term in the n-th row is T(n), the n-th term in the n-th row is n! and the product of terms of the n-th row is {T(n)}!. - Joshua Zucker, Dec 14 2005

Links

Table of n, a(n) for n=1..41.

Example

For n = 4 the terms of the 4th row are 10, 9*8, 7*6*5, 4*3*2*1.

Crossrefs

Cf. A110769.

Sequence in context: A276225 A082561 A268642 * A140230 A356563 A334588

Adjacent sequences: A110765 A110766 A110767 * A110769 A110770 A110771

Keyword

easy,tabl,nonn

Author

Amarnath Murthy, Aug 12 2005

Extensions

More terms from Joshua Zucker, Dec 14 2005

Status

approved