The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A005914 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A005914

Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).
(history; published version)

#93 by Joerg Arndt at Thu Jan 27 03:08:27 EST 2022

STATUS

reviewed

approved

#92 by Michel Marcus at Thu Jan 27 03:02:53 EST 2022

STATUS

proposed

reviewed

#91 by Amiram Eldar at Thu Jan 27 02:45:13 EST 2022

STATUS

editing

proposed

#90 by Amiram Eldar at Thu Jan 27 01:49:13 EST 2022

CROSSREFS

Cf. A000408, A001082, A003154, A005918, A206399.

#89 by Amiram Eldar at Thu Jan 27 01:48:33 EST 2022

CROSSREFS

Cf. A001082, A003154, A206399.

Cf. A003154.

#88 by Amiram Eldar at Thu Jan 27 01:47:41 EST 2022

LINKS

Ralf W. Grosse-Kunstleve, <a href="/A005897/a005897.html">Coordination Sequences and Encyclopedia of Integer Sequences</a>, 1996.

#87 by Amiram Eldar at Thu Jan 27 01:46:47 EST 2022

REFERENCES

Gmelin Handbook of Inorg. Inorganic and Organomet. Chem., Organometallic Chemistry, 8th Ed., 1994, TYPIX search code (229) cI2.

LINKS

O. Ovidiu Bagdasar, <a href="httphttps://www.npderby.acopenrepository.rs/downloadscom/publicationshandle/VOL6_Br_210545/vol6br2-3.pdf583372">On Some Functions Involving the lcm and gcd of Integer Tuples</a>, Scientific Publications of the State University of Novi Pazar, Appl. Maths. Inform. and Mech., Vol. 6, No. 2 (2014), pp. 91--100.

R. Ralf W. Grosse-Kunstleve, <a href="/A005897/a005897.html">Coordination Sequences and Encyclopedia of Integer Sequences</a>.

R. Ralf W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, <a href="http://neilsloane.com/doc/ac96cs/">Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites</a>, Acta Cryst., A52 (1996), pp. 879-889.

Milan Janjic, <a href="httphttps://wwwpmf.pmfblunibl.org/janjicwp-content/uploads/2017/10/enumfun.pdf">Enumerative Formulas for Some Functions on Finite Sets</a>.

C. Claudio de J. Pita Ruiz V., <a href="https://cs.uwaterloo.ca/journals/JIS/VOL16/Pita/pita19.html">Some Number Arrays Related to Pascal and Lucas Triangles</a>, J. Int. Seq. , Vol. 16 (2013) #, Article 13.5.7.

Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992, arXiv:0911.4975 [math.NT], 2009.

Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992.

B. Boon K. Teo and N. J. A. Sloane, <a href="http://dx.doi.org/10.1021/ic00220a025">Magic numbers in polygonal and polyhedral clusters</a>, Inorgan. Chem. , Vol. 24 (1985), pp. 4545-4558.

#86 by Amiram Eldar at Thu Jan 27 01:43:36 EST 2022

FORMULA

From Amiram Eldar, Jan 27 2022: (Start)

Sum_{n>=0} 1/a(n) = ((Pi/sqrt(6))*coth(Pi/sqrt(6)) + 3)/4.

Sum_{n>=0} (-1)^n/a(n) = ((Pi/sqrt(6))*cosech(Pi/sqrt(6)) + 3)/4. (End)

STATUS

approved

editing

#85 by Susanna Cuyler at Tue May 04 01:02:43 EDT 2021

STATUS

reviewed

approved

#84 by Michel Marcus at Mon May 03 23:40:58 EDT 2021

STATUS

proposed

reviewed