The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A080737 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A080737

a(1) = a(2) = 0; for n > 2, the least dimension of a lattice possessing a symmetry of order n.
(history; published version)

#32 by Michael De Vlieger at Tue Apr 04 10:33:40 EDT 2023

STATUS

reviewed

approved

#31 by Michel Marcus at Tue Apr 04 10:21:47 EDT 2023

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proposed

reviewed

#30 by Michael De Vlieger at Tue Apr 04 10:19:38 EDT 2023

STATUS

editing

proposed

#29 by Michael De Vlieger at Tue Apr 04 10:19:37 EDT 2023

LINKS

Savinien Kreczman, Luca Prigioniero, Eric Rowland, and Manon Stipulanti, <a href="https://orbi.uliege.be/bitstream/2268/300422/1/paper-KPRS-submission.pdf">Magic numbers in periodic sequences</a>, Univ. Liège (Belgium, 2023). See p. 7.

STATUS

proposed

editing

#28 by Michael De Vlieger at Tue Apr 04 10:19:20 EDT 2023

STATUS

editing

proposed

#27 by Michael De Vlieger at Tue Apr 04 10:19:19 EDT 2023

LINKS

STATUS

approved

editing

#26 by Wesley Ivan Hurt at Sun Jul 09 12:18:37 EDT 2017

STATUS

reviewed

approved

#25 by Joerg Arndt at Sun Jul 09 04:14:27 EDT 2017

STATUS

proposed

reviewed

#24 by Michel Marcus at Sun Jul 09 04:13:45 EDT 2017

STATUS

editing

proposed

#23 by Michel Marcus at Sun Jul 09 04:12:43 EDT 2017

REFERENCES

J. Bamberg, G. Cairns and D. Kilminster, The crystallographic restriction, permutations and Goldbach's conjecture, Amer. Math. Monthly, 110 (March 2003), 202-209.

LINKS

J. Bamberg, G. Cairns and D. Kilminster, <a href="http://www.jstor.org/stable/3647934">The crystallographic restriction, permutations and Goldbach's conjecture</a>, Amer. Math. Monthly, 110 (March 2003), 202-209.

PROG

(PARI) for(n=1, 78, k=0; if(n>1, f=factor(n); k=sum(j=1, matsize(f)[1], eulerphi(f[j, 1]^f[j, 2])); if(f[1, 1]==2&&f[1, 2]==1, k--)); print1(k, ", ")) \\ _Klaus Brockhaus_, Mar 10 2003

EXTENSIONS

More terms and PARI code from Klaus Brockhaus, Mar 10 2003

STATUS

approved

editing