The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A298024 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A298024

G.f.: (x^4+3*x^3+6*x^2+3*x+1)/((1-x)*(1-x^3)).
(history; published version)

#65 by Ray Chandler at Thu Mar 07 10:58:36 EST 2024

STATUS

editing

approved

#64 by Ray Chandler at Thu Mar 07 10:58:32 EST 2024

LINKS

Chung, Ping Ngai, Miguel A. Fernandez, Yifei Li, Michael Mara, Frank Morgan, Isamar Rosa Plata, Niralee Shah, Luis Sordo Vieira, and Elena Wikner. <a href="http://dx.doi.org/10.1090/noti838">Isoperimetric pentagonal tilingsPentagonal Tilings</a>, Notices of the AMS 59, no. 5 (2012), pp. 632-640. See Fig. 1 (right).

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approved

editing

#63 by Ray Chandler at Thu Mar 07 10:57:29 EST 2024

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editing

approved

#62 by Ray Chandler at Thu Mar 07 10:57:24 EST 2024

LINKS

Chung, Ping Ngai, Miguel A. Fernandez, Yifei Li, Michael Mara, Frank Morgan, Isamar Rosa Plata, Niralee Shah, Luis Sordo Vieira, and Elena Wikner. <a href="http://dx.doi.org/10.1090/noti838">Isoperimetric pentagonal tilings." </a>, Notices of the AMS 59, no. 5 (2012), pp. 632-640. See Fig. 1 (right).

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approved

editing

#61 by Ray Chandler at Thu Aug 31 11:13:23 EDT 2023

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approved

#60 by Ray Chandler at Thu Aug 31 11:13:19 EDT 2023

COMMENTS

Linear recurrence and g.f. confirmed by Shutov/Maleev link. - Ray Chandler, Aug 31 2023

LINKS

Anton Shutov and Andrey Maleev, <a href="https://doi.org/10.1515/zkri-2020-0002">Coordination sequences of 2-uniform graphs</a>, Z. Kristallogr., 235 (2020), 157-166. See supplementary material, krb, vertex u_1.

CROSSREFS

Cf. A298024A301298.

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approved

editing

#59 by N. J. A. Sloane at Sat Sep 18 16:20:14 EDT 2021

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approved

#58 by N. J. A. Sloane at Sat Sep 18 16:20:11 EDT 2021

LINKS

Frank Morgan, <a href="https://www.youtube.com/watch?v=PpUx0nnWfKQ">Optimal Pentagonal Tilings</a>, Video, May 2021 [Mentions this tiling

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approved

editing

#57 by Charles R Greathouse IV at Wed Jul 21 13:20:33 EDT 2021

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approved

#56 by Charles R Greathouse IV at Wed Jul 21 13:20:31 EDT 2021

KEYWORD

nonn,easy

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approved

editing