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A001725 n!/5!.
(Formerly M4243 N1772)
+0
16
1, 6, 42, 336, 3024, 30240, 332640, 3991680, 51891840, 726485760, 10897286400, 174356582400, 2964061900800, 53353114214400, 1013709170073600 (list; graph; listen)
OFFSET

5,2

REFERENCES

Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. II. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 107-108 1963 1-77.

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 265

W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

Alexsandar Petojevic, The Function vM_m(s; a; z) and Some Well-Known Sequences, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.7

Index entries for sequences related to factorial numbers

FORMULA

E.g.f.: if offset 0: 1/(1-x)^6.

MAPLE

a:=n->mul(numer( (k+1)/(k+2) ), k=5..n): seq(a(n), n=4..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008

a:=n->mul(denom( (k+1)/(k+2) ), k=4..n): seq(a(n), n=3..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008

CROSSREFS

a(n)= A049374(n-4), n >= 1 (first column of triangle). Cf. A049460, A051339. a(n)= A051338(n-5, 0)*(-1)^(n-1) (first unsigned column of triangle).

Sequence in context: A033296 A082302 A029588 this_sequence A123510 A132804 A074017

Adjacent sequences: A001722 A001723 A001724 this_sequence A001726 A001727 A001728

KEYWORD

nonn

AUTHOR

njas

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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