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A110768
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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.
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3
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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 (joshua.zucker(AT)stanfordalumni.org), Dec 14 2005
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EXAMPLE
| For n = 4 the terms of the 4-th row are 10, 9*8, 7*6*5, 4*3*2*1.
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CROSSREFS
| Cf. A110769.
Sequence in context: A074718 A007812 A082561 * A140230 A025240 A137602
Adjacent sequences: A110765 A110766 A110767 * A110769 A110770 A110771
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KEYWORD
| easy,tabl,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 12 2005
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EXTENSIONS
| More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Dec 14 2005
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