The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A001715

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A001715

a(n) = n!/6.
(history; published version)

#90 by Michel Marcus at Sun Jan 15 02:42:45 EST 2023

STATUS

reviewed

approved

#89 by Joerg Arndt at Sun Jan 15 02:12:07 EST 2023

STATUS

proposed

reviewed

#88 by Amiram Eldar at Sun Jan 15 01:36:16 EST 2023

STATUS

editing

proposed

#87 by Amiram Eldar at Sun Jan 15 01:15:36 EST 2023

FORMULA

a(n) = A049352(n-2, 1) (first column of triangle).

CROSSREFS

a(n) = A049352(n-2, 1) (first column of triangle). Cf. A049458, A049460.

Cf. A049352, A049458, A049460.

#86 by Amiram Eldar at Sun Jan 15 01:06:22 EST 2023

LINKS

<a href="/index/Di#divseq">Index to divisibility sequences</a>.

#85 by Amiram Eldar at Sun Jan 15 01:05:55 EST 2023

LINKS

INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=263">Encyclopedia of Combinatorial Structures 263</a>.

Wolfdieter Lang, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL3/LANG/lang.html">On generalizations of Stirling number triangles</a>, J. Integer Seqs., Vol. 3 (2000), #Article 00.2.4.

<a href="/index/Di#divseq">Index to divisibility sequences</a>.

<a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.

FORMULA

From Amiram Eldar, Jan 15 2023: (Start)

Sum_{n>=3} 1/a(n) = 6*e - 15.

Sum_{n>=3} (-1)^(n+1)/a(n) = 3 - 6/e. (End)

STATUS

approved

editing

#84 by Charles R Greathouse IV at Thu Sep 08 08:44:29 EDT 2022

PROG

(MAGMAMagma) [Factorial(n)/6: n in [3..30]]; // Vincenzo Librandi, Jun 20 2011

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#83 by Susanna Cuyler at Sat Jul 10 03:03:09 EDT 2021

STATUS

proposed

approved

#82 by Michel Marcus at Fri Jul 09 15:00:42 EDT 2021

STATUS

editing

proposed

#81 by Michel Marcus at Fri Jul 09 15:00:36 EDT 2021

COMMENTS

a(n) = A173333(n,3). - Reinhard Zumkeller, Feb 19 2010

a(n) = A245334(n,n-3) / 4. - Reinhard Zumkeller, Aug 31 2014

LINKS

Somaya Barati, Beáta Bényi, Abbas Jafarzadeh, and Daniel Yaqubi, <a href="https://arxiv.org/abs/1812.02955">Mixed restricted Stirling numbers</a>, arXiv:1812.02955 [math.CO], 2018.

D. S. Mitrinovic and R. S. Mitrinovic, <a href="http://pefmath2.etf.rs/files/47/77.pdf">Tableaux d'une classe de nombres relies reliés aux nombres de Stirling</a>, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.

FORMULA

a(n) = A173333(n,3). - Reinhard Zumkeller, Feb 19 2010

a(n) = A245334(n,n-3) / 4. - Reinhard Zumkeller, Aug 31 2014

STATUS

proposed

editing