The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A008391 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A008391

Coordination sequence for A_8 lattice.
(history; published version)

#46 by Vaclav Kotesovec at Sat May 27 03:15:32 EDT 2023

STATUS

reviewed

approved

#45 by Joerg Arndt at Sat May 27 02:18:12 EDT 2023

STATUS

proposed

reviewed

#44 by Michel Marcus at Sat May 27 02:09:19 EDT 2023

STATUS

editing

proposed

#43 by Michel Marcus at Sat May 27 02:09:14 EDT 2023

REFERENCES

R. Bacher, P. de la Harpe and B. Venkov, Series de croissance et series d'Ehrhart associees aux reseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

LINKS

M. Baake and U. Grimm, <a href="https://arxiv.org/abs/cond-mat/9706122">Coordination sequences for root lattices and related graphs</a>, arXiv:cond-mat/9706122, 1997; Zeit. f. Kristallographie, 212 (1997), 253-256.

R. Bacher, P. de la Harpe and B. Venkov, <a href="https://doi.org/10.1016/S0764-4442(97)83542-2">Séries de croissance et séries d'Ehrhart associées aux réseaux de racines</a>, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

STATUS

approved

editing

#42 by Michel Marcus at Sat May 27 02:08:01 EDT 2023

STATUS

reviewed

approved

#41 by Joerg Arndt at Sat May 27 00:35:45 EDT 2023

STATUS

proposed

reviewed

#40 by Jon E. Schoenfield at Sat May 27 00:19:47 EDT 2023

STATUS

editing

proposed

#39 by Jon E. Schoenfield at Sat May 27 00:19:38 EDT 2023

FORMULA

a(n) = n*(715*n^6 + 6006*n^4 + 10395*n^2 + 3044)/280, a(0) = 1.

STATUS

proposed

editing

#38 by G. C. Greubel at Fri May 26 22:59:43 EDT 2023

STATUS

editing

proposed

#37 by G. C. Greubel at Fri May 26 22:58:51 EDT 2023

MATHEMATICA

Join[{1}, LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {72, 1332, 11832, 66222, 271224, 889716, 2476296, 6077196}, 30]] (* Harvey P. Dale, Mar 04 2012 *)

Discussion

Fri May 26

22:59

G. C. Greubel: New first formula copied from Maple. Maple placed into copy-paste-run format.