The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A005899 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A005899

Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.
(history; published version)

#201 by R. J. Mathar at Sat Apr 27 14:37:16 EDT 2024

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editing

approved

#200 by R. J. Mathar at Sat Apr 27 14:36:53 EDT 2024

FORMULA

Sum_{n>=0} 1/a(n) = 3/4 + Pi *sqrt(2)*coth( Pi/sqrt 2)/8 = 1.31858... - R. J. Mathar, Apr 27 2024

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approved

editing

#199 by Andrew Howroyd at Thu Jan 11 11:52:08 EST 2024

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reviewed

approved

#198 by Michel Marcus at Thu Jan 11 11:45:40 EST 2024

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proposed

reviewed

#197 by Michael De Vlieger at Thu Jan 11 11:20:09 EST 2024

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editing

proposed

#196 by Michael De Vlieger at Thu Jan 11 11:20:07 EST 2024

LINKS

Carlos I. Perez-Sanchez, <a href="https://arxiv.org/abs/2401.03705">The Spectral Action on quivers</a>, arXiv:2401.03705 [math.RT], 2024.

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approved

editing

#195 by Ray Chandler at Tue Dec 12 11:10:07 EST 2023

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editing

approved

#194 by Ray Chandler at Tue Dec 12 11:10:00 EST 2023

LINKS

M. O'Keeffe, <a href="http://dx.doi.org/10.1524/zkri.1995.210.12.905">Coordination sequences for lattices</a>, Zeit. f. Krist., 210 (1995), 905-908.

M. O'Keeffe, <a href="/A008527/a008527.pdf">Coordination sequences for lattices</a>, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy]

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approved

editing

#193 by N. J. A. Sloane at Fri Mar 10 13:37:50 EST 2023

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proposed

approved

#192 by Shel Kaphan at Fri Mar 10 11:23:14 EST 2023

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editing

proposed