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A162608
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Triangle read by rows in which row n lists n+1 terms, starting with n!, such that the difference between successive terms is also equal to n!.
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2
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1, 1, 2, 2, 4, 6, 6, 12, 18, 24, 24, 48, 72, 96, 120, 120, 240, 360, 480, 600, 720, 720, 1440, 2160, 2880, 3600, 4320, 5040, 5040, 10080, 15120, 20160, 25200, 30240, 35280, 40320, 40320, 80640, 120960, 161280, 201600, 241920, 282240, 322560, 362880
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Note that the last term of the n-th row is the factorial of (n+1) = (n+1)! = A000142(n+1).
Contribution from Alford Arnold (Alford1940(AT)aol.com), Sep 28 2010: (Start)
Sequence A178883 (with shape A000041) is a "refinement" of Table A162608;
as expected, both sequences have row sums A001710(n+2).
(End)
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EXAMPLE
| Triangle begins:
1;
1,2;
2,4,6;
6,12,18,24;
24,48,72,96,120;
120,240,360,480,600,720;
720,1440,2160,2880,3600,4320,5040;
5040,10080,15120,20160,25200,30240,35280,40320;
40320,80640,120960,161280,201600,241920,282240,322560,362880;
362880,725760,1088640,1451520,1814400,2177280,2540160,2903040,3265920,3628800;
...
Observation: It appears that rows sums = A001710(n+2).
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CROSSREFS
| Cf. A000142, A001710, A051683, A159797, A162611, A162614, A162622.
Cf. A178883 [From Alford Arnold (Alford1940(AT)aol.com), Sep 28 2010]
Sequence in context: A000784 A092991 A102425 * A143216 A086536 A053045
Adjacent sequences: A162605 A162606 A162607 * A162609 A162610 A162611
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Jul 22 2009
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