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Search: id:A001720
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| A001720 |
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n!/24.
(Formerly M3960 N1634)
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+0
19
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| 1, 5, 30, 210, 1680, 15120, 151200, 1663200, 19958400, 259459200, 3632428800, 54486432000, 871782912000, 14820309504000, 266765571072000, 5068545850368000, 101370917007360000, 2128789257154560000
(list; graph; listen)
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OFFSET
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4,2
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REFERENCES
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Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.
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LINKS
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W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
Index entries for sequences related to factorial numbers
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 264
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
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FORMULA
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E.g.f. if offset 0: 1/(1-x)^5.
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MAPLE
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a[0]:=1:a[1]:=1:for n from 2 to 50 do a[n]:=(a[n-1]*(n+2)^2) od: seq(sqrt(a[n])/4, n=2..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 04 2008
a:=n->mul(denom((k+1)/(k+2) ), k=3..n): seq(a(n), n=2..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008
a:=n->mul(numer((k+1)/(k+2) ), k=4..n): seq(a(n), n=3..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2008
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CROSSREFS
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Cf. A049459, A051338. a(n)= A049353(n-3, 1) (first column of triangle).
Sequence in context: A082301 A091122 A029587 this_sequence A051829 A058247 A137965
Adjacent sequences: A001717 A001718 A001719 this_sequence A001721 A001722 A001723
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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