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A049447 Stirling numbers of second kind: 9th column of Stirling2 triangle A008277. 4
1, 45, 1155, 22275, 359502, 5135130, 67128490, 820784250, 9528822303, 106175395755, 1144614626805, 12011282644725, 123272476465204, 1241963303533920, 12320068811796900, 120622574326072500, 1167921451092973005, 11201516780955125625, 106563273280541795575 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,2

REFERENCES

See A000771.

LINKS

Table of n, a(n) for n=9..27.

FORMULA

a(n)= A008277(n, 9).

G.f.: x^9/product_{k=1..9} (1-k*x).

E.g.f.: ((exp(x)-1)^9)/9!.

a(n) = det(|s(i+9,j+8)|, 1 <= i,j <= n-9), where s(n,k) are Stirling numbers of the first kind. - Mircea Merca, Apr 06 2013

MATHEMATICA

lst={}; Do[f=StirlingS2[n, 9]; AppendTo[lst, f], {n, 9, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 27 2008 *)

CoefficientList[Series[1/((1 - x) (1 - 2 x) (1 - 3 x) (1 - 4 x) (1 - 5 x) (1 - 6 x) (1 - 7 x) (1 - 8 x) (1 - 9 x)), {x, 0, 25}], x] (* Vladimir Joseph Stephan Orlovsky, Jun 20 2011 *)

CROSSREFS

Cf. A000225, A000392, A000453, A000481, A000770, A000771, A049434.

Sequence in context: A265615 A140346 A268870 * A215769 A229796 A143400

Adjacent sequences:  A049444 A049445 A049446 * A049448 A049449 A049450

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified April 26 17:21 EDT 2017. Contains 285449 sequences.