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A049398 a(n) = (n+9)!/9!. 16
1, 10, 110, 1320, 17160, 240240, 3603600, 57657600, 980179200, 17643225600, 335221286400, 6704425728000, 140792940288000, 3097444686336000, 71241227785728000, 1709789466857472000, 42744736671436800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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). - Reinhard Zumkeller, Feb 19 2010

a(n) = A245334(n+9,n) / 10. - Reinhard Zumkeller, Aug 31 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

FORMULA

E.g.f.: 1/(1-x)^10.

PROG

(MAGMA) [Factorial(n+9)/362880: n in [0..25]]; // Vincenzo Librandi, Jul 20 2011

(PARI) a(n) = (n+9)!/9!

(Haskell)

a049398 = (flip div 362880) . a000142 . (+ 9)

-- Reinhard Zumkeller, Aug 31 2014

CROSSREFS

Cf. A000142, A001710, A001715, A001720, A001725, A001730, A049388, A049389.

Cf. A245334.

Sequence in context: A289414 A143749 A276507 * A055530 A108487 A099883

Adjacent sequences:  A049395 A049396 A049397 * A049399 A049400 A049401

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified February 24 11:39 EST 2018. Contains 299603 sequences. (Running on oeis4.)