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A049435 Stirling numbers of second kind: 10th column of Stirling2 triangle A008277. 4
1, 55, 1705, 39325, 752752, 12662650, 193754990, 2758334150, 37112163803, 477297033785, 5917584964655, 71187132291275, 835143799377954, 9593401297313460, 108254081784931500, 1203163392175387500, 13199555372846848005, 143197070509423605675 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

REFERENCES

See A000771.

LINKS

Table of n, a(n) for n=10..27.

FORMULA

G.f.: x^10/product_{k=1..10} (1-k*x).

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

a(n) = det(|s(i+10,j+9)|, 1 <= i,j <= n-10), where s(n,k) are Stirling numbers of the first kind. - Mircea Merca, Apr 06 2013

MATHEMATICA

lst={}; Do[f=StirlingS2[n, 10]; AppendTo[lst, f], {n, 10, 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) (1 - 10 x)), {x, 0, 25}], x] (* Vladimir Joseph Stephan Orlovsky, Jun 20 2011 *)

CROSSREFS

Cf. A000225, A000392, A000453, A000481, A000770, A000771, A049434, A049447. a(n) = A008277(n, 10).

Sequence in context: A166844 A077688 A188712 * A215770 A320823 A166833

Adjacent sequences:  A049432 A049433 A049434 * A049436 A049437 A049438

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified January 19 20:16 EST 2019. Contains 319310 sequences. (Running on oeis4.)