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A077012
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Triangle in which n-th row contains all possible products of n-1 of the first n natural numbers in ascending order.
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4
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1, 1, 2, 2, 3, 6, 6, 8, 12, 24, 24, 30, 40, 60, 120, 120, 144, 180, 240, 360, 720, 720, 840, 1008, 1260, 1680, 2520, 5040, 5040, 5760, 6720, 8064, 10080, 13440, 20160, 40320, 40320, 45360, 51840, 60480, 72576, 90720, 120960, 181440, 362880, 362880
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Row products of A137853. [From Mats Granvik (mats.granvik(AT)abo.fi), Jun 24 2009]
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FORMULA
| E.g.f.: -ln(1-x)/(1-y*x). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 07 2003
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EXAMPLE
| 1; 1,2; 2,3,6; 6,8,12,24; 24,30,40,60,120; ...
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MAPLE
| A077012_row := proc(n) local k; seq(n!/(n-k), k=0..n-1) end:
seq(print(A077012_row(n)), n=1..9); - Peter Luschny, Mar 21 2011
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MATHEMATICA
| Flatten[Table[n!/(n-k), {n, 10}, {k, 0, n-1}]] (* From Harvey P. Dale, Dec 25 2011 *)
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CROSSREFS
| Row sums give A000254. Cf. A078921.
Cf. A058298.
Sequence in context: A121457 A093784 A035560 * A078921 A011961 A182713
Adjacent sequences: A077009 A077010 A077011 * A077013 A077014 A077015
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KEYWORD
| nonn,tabl
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 26 2002
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EXTENSIONS
| More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 26 2003
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