The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A049434

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A049434

Stirling numbers of second kind: 8th column of Stirling2 triangle A008277.
(history; published version)

#17 by Bruno Berselli at Thu Jan 08 01:50:13 EST 2015

STATUS

reviewed

approved

#16 by Michel Marcus at Thu Jan 08 00:52:40 EST 2015

STATUS

proposed

reviewed

#15 by Jon E. Schoenfield at Thu Jan 08 00:10:55 EST 2015

STATUS

editing

proposed

#14 by Jon E. Schoenfield at Thu Jan 08 00:10:53 EST 2015

FORMULA

G.f.: x^8/product(1-k*x, _{k=1..8). E.g.f. ((exp} (x)-1)^8-k*x)/8!.

E.g.f.: ((exp(x)-1)^8)/8!.

a(n) = det(|s(i+8,j+7)|, 1 <= i,j <= n-8), where s(n,k) are Stirling numbers of the first kind. [_- _Mircea Merca_, Apr 06 2013]

MATHEMATICA

lst={}; Do[f=StirlingS2[n, 8]; AppendTo[lst, f], {n, 8, 5!}]; lst [From _(* _Vladimir Joseph Stephan Orlovsky_, Sep 27 2008] *)

STATUS

approved

editing

#13 by Charles R Greathouse IV at Thu Nov 21 13:07:09 EST 2013

MATHEMATICA

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)), {x, 0, 25}], x] (* From _Vladimir Joseph Stephan Orlovsky, _, Jun 20 2011 *)

Discussion

Thu Nov 21

13:07

OEIS Server: https://oeis.org/edit/global/2063

#12 by Joerg Arndt at Sat Apr 06 03:06:37 EDT 2013

STATUS

reviewed

approved

#11 by Joerg Arndt at Sat Apr 06 02:54:48 EDT 2013

STATUS

proposed

reviewed

#10 by Mircea Merca at Sat Apr 06 02:54:23 EDT 2013

STATUS

editing

proposed

#9 by Mircea Merca at Sat Apr 06 02:54:15 EDT 2013

FORMULA

a(n) = det(|s(i+8,j+7)|, 1 <= i,j <= n-8), where s(n,k) are Stirling numbers of the first kind. [Mircea Merca, Apr 06 2013]

STATUS

approved

editing

#8 by Russ Cox at Sat Mar 31 13:19:59 EDT 2012

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

Wolfdieter Lang

Discussion

Sat Mar 31

13:19

OEIS Server: https://oeis.org/edit/global/878