

A110768


The rth term of the nth row of the following triangle contains product of r successive numbers in decreasing order beginning from T(n)T(r1) where T(n) is the nth triangular number. 1 3 2 6 20 6 10 72 210 24 15 182 1320 3024 120 ... Sequence contains the triangle by rows.


3



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
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OFFSET

1,2


COMMENTS

The first term in the nth row is T(n), the nth term in the nth row is n! and the product of terms of the nth 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 A025240 A137602
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



