The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A008448 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A008448

Theta series of A_8 lattice.
(history; published version)

#10 by Alois P. Heinz at Wed Jun 12 20:48:10 EDT 2019

STATUS

proposed

approved

#9 by Sean A. Irvine at Wed Jun 12 19:38:34 EDT 2019

STATUS

editing

proposed

#8 by Sean A. Irvine at Wed Jun 12 19:38:27 EDT 2019

DATA

1, 72, 756, 2184, 5742, 10584, 19656, 26712, 49140, 59208, 88452, 111888, 159432, 171864, 260064, 275184, 364734, 412776, 532872, 534744, 772632, 751296, 935064, 1022112, 1277640, 1229328, 1661688, 1598856, 1959696, 2048760, 2476656, 2321928

EXTENSIONS

More terms from Sean A. Irvine, Jun 12 2019

STATUS

approved

editing

#7 by Bruno Berselli at Tue Jul 04 03:34:37 EDT 2017

STATUS

proposed

approved

#6 by Jean-François Alcover at Tue Jul 04 02:40:08 EDT 2017

STATUS

editing

proposed

#5 by Jean-François Alcover at Tue Jul 04 02:40:03 EDT 2017

MATHEMATICA

terms = 26; f[q_] = LatticeData["A8", "ThetaSeriesFunction"][-I Log[q]/Pi]; Series[f[q], {q, 0, 2 terms - 1}] // CoefficientList[#, q]& // Round // DeleteCases[#, 0]& (* Jean-François Alcover, Jul 04 2017 *)

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:45:20 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:45

OEIS Server: https://oeis.org/edit/global/110

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#2 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Theta series of $A sub _8$ lattice.

REFERENCES

SPLAG J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Fri Mar 15 03:00:00 EST 1996

NAME

Theta series of $A sub 8$ lattice.

DATA

1, 72, 756, 2184, 5742, 10584, 19656, 26712, 49140, 59208, 88452, 111888, 159432, 171864, 260064, 275184, 364734, 412776, 532872, 534744, 772632, 751296, 935064, 1022112, 1277640, 1229328

OFFSET

0,2

REFERENCES

SPLAG 110.

KEYWORD

nonn

AUTHOR

njas

STATUS

approved