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A067046
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LCM(n,n+1,n+2)/6.
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5
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1, 2, 10, 10, 35, 28, 84, 60, 165, 110, 286, 182, 455, 280, 680, 408, 969, 570, 1330, 770, 1771, 1012, 2300, 1300, 2925, 1638, 3654, 2030, 4495, 2480, 5456, 2992, 6545, 3570, 7770, 4218, 9139, 4940, 10660, 5740, 12341, 6622, 14190
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Amarnath Murthy, Some Notions on Least Common Multiples, Smarandache Notions Journal, Vol. 12, No. 1-2-3,Spring 2001.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
M. L. Perez et al., eds., Smarandache Notions Journal
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FORMULA
| G.f.: (x^4+2x^3+6x^2+2x+1)/(1-x^2)^4.
a(n) = binomial(n+2,3)*(3-(-1)^n)/4. [From Gary Detlefs (gdetlefs(AT)aol.com), April 13 2011]
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EXAMPLE
| a(6) = 28 as LCM(6,7,8)/6 = 168/6 = 28.
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MATHEMATICA
| Table[LCM[n, n+1, n+2]/6, {n, 50}] [From Harvey P. Dale, Jan. 11, 2011]
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PROG
| (PARI) { for (n=1, 1000, write("b067046.txt", n, " ", lcm(lcm(n, n+1), n+2)/6) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 30 2010]
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CROSSREFS
| Sequence in context: A071808 A168381 A156780 * A066394 A033466 A193181
Adjacent sequences: A067043 A067044 A067045 * A067047 A067048 A067049
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 30 2001
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