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A001777 Lah numbers: n! * binomial(n-1, 4)/5!.
(Formerly M5213 N2267)
8
1, 30, 630, 11760, 211680, 3810240, 69854400, 1317254400, 25686460800, 519437318400, 10908183686400, 237996734976000, 5394592659456000, 126980411830272000, 3101950060425216000, 78582734864105472000, 2062796790182768640000, 56059536297908183040000 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 156.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 44.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n = 5..100

FORMULA

E.g.f.: ((x/(1-x))^5)/5!.

If we define f(n,i,x) = sum(sum(binomial(k,j)*Stirling1(n,k)*Stirling2(j,i)*x^(k-j),j=i..k),k=i..n) then a(n+1)=(-1)^n*f(n,4,-6), (n>=4). - Milan Janjic, Mar 01 2009

MAPLE

A001777 := n-> n!*binomial(n-1, 4)/5!;

MATHEMATICA

Table[n! Binomial[n - 1, 4]/5!, {n, 5, 20}] (* T. D. Noe, Aug 10 2012 *)

PROG

(Sage) [binomial(n, 5)*factorial (n-1)/factorial (4) for n in xrange(5, 21)] # Zerinvary Lajos, Jul 07 2009

CROSSREFS

Column 5 of A008297. Cf. A053495.

Column m=5 of unsigned triangle A111596.

Sequence in context: A075911 A001719 A004359 * A205828 A136661 A264849

Adjacent sequences:  A001774 A001775 A001776 * A001778 A001779 A001780

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Barbara Haas Margolius (margolius(AT)math.csuohio.edu)

STATUS

approved

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Last modified December 7 00:43 EST 2019. Contains 329816 sequences. (Running on oeis4.)