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1, 10, 110, 1320, 17160, 240240, 3603600, 57657600, 980179200, 17643225600, 335221286400, 6704425728000, 140792940288000, 3097444686336000, 71241227785728000, 1709789466857472000, 42744736671436800000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The p=9 member of the p-family of sequences {(n+p-1)!/p!}, n >= 1.
The asymptotic expansion of the higher order exponential integral E(x,m=1,n=10) ~ exp(-x)/x*(1 - 10/x + 110/x^2 - 1320/x^3 + 17160/x^4 - 240240/x^5 + 3603600/x^6 - ...) leads to the sequence given above. See A163931 and A130534 for more information. [Johannes W. Meijer, Oct 20 2009]
a(n) = A173333(n+9,9). [From Reinhard Zumkeller, Feb 19 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..300
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FORMULA
| a(n) = (n+9)!/9!
E.g.f.: 1/(1-x)^10.
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PROG
| (MAGMA) [Factorial(n+9)/362880: n in [0..25]]; // Vincenzo Librandi, Jul 20 2011
(PARI) a(n) = (n+9)!/9!
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CROSSREFS
| Cf. A000142, A001710, A001715, A001720, A001725, A001730, A049388, A049389.
Sequence in context: A057093 A055276 A143749 * A055530 A108487 A099883
Adjacent sequences: A049395 A049396 A049397 * A049399 A049400 A049401
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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