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A001755 Lah numbers: n!C(n-1,3)/4!.
(Formerly M5096 N2207)
+0
4
1, 20, 300, 4200, 58800, 846720, 12700800, 199584000, 3293136000, 57081024000, 1038874636800, 19833061248000, 396661224960000, 8299373322240000, 181400588328960000, 4135933413900288000, 98228418580131840000 (list; graph; listen)
OFFSET

4,2

REFERENCES

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

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

FORMULA

E.g.f.: ((x/(1-x))^4)/4!.

MAPLE

A001755 := n-> n!*binomial(n-1, 3)/4!;

CROSSREFS

Column 4 of A008297. Cf. A053495.

Column m=4 of unsigned triangle A111596.

Sequence in context: A077758 A053541 A004345 this_sequence A016190 A016188 A006300

Adjacent sequences: A001752 A001753 A001754 this_sequence A001756 A001757 A001758

KEYWORD

nonn,easy

AUTHOR

njas

EXTENSIONS

More terms from Barbara Haas Margolius (margolius(AT)math.csuohio.edu) 2/12/01

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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