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A051431 a(n) = (n+10)!/10!. 12
1, 11, 132, 1716, 24024, 360360, 5765760, 98017920, 1764322560, 33522128640, 670442572800, 14079294028800, 309744468633600, 7124122778572800, 170978946685747200, 4274473667143680000, 111136315345735680000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The p=10 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=11) ~ exp(-x)/x*(1 - 11/x + 132/x^2 - 1716/x^3 + 24024/x^4 - 360360/x^5 + 5765760/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+10,10). - Reinhard Zumkeller, Feb 19 2010

a(n) = A245334(n+10,n) / 11. - Reinhard Zumkeller, Aug 31 2014

LINKS

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

FORMULA

a(n) = (n+10)!/10!

E.g.f.: 1/(1-x)^11.

PROG

(MAGMA) [Factorial(n+10)/3628800: n in [0..25]]; // Vincenzo Librandi, Jul 20 2011

(Haskell)

a051431 = (flip div 3628800) . a000142 . (+ 10)

-- Reinhard Zumkeller, Aug 31 2014

CROSSREFS

Cf. A000142, A001710, A001715, A001720, A001725, A001730, A049388, A049389, A049398.

Cf. A245334.

Sequence in context: A105280 A196731 A289415 * A014994 A015609 A250460

Adjacent sequences:  A051428 A051429 A051430 * A051432 A051433 A051434

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified March 18 20:23 EDT 2019. Contains 321294 sequences. (Running on oeis4.)