login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005888 Theta series of hexagonal close-packing with respect to edge between layers.
(Formerly M0008)
2

%I M0008 #17 Sep 25 2016 14:51:26

%S 0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,2,0,4,0,0,0,4,0,2,0,0,0,4,0,4,

%T 0,0,0,4,0,4,0,0,0,2,0,4,0,0,0,4,0,8,0,0,0,4,0,4,0,0,0,4,0,8,0,0,0,6,

%U 0,8,0,0,0,0,0,6,0,0,0,4,0,8,0,0,0,4,0,4,0,0,0,4,0,12,0,0,0,4,0,12,0,0,0,0,0,8,0,0,0,8,0,12,0,0,0,4,0,8,0,0,0,4,0,8,0,0,0,4,0,12

%N Theta series of hexagonal close-packing with respect to edge between layers.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Sean A. Irvine, <a href="/A005888/b005888.txt">Table of n, a(n) for n = 0..999</a>

%H N. J. A. Sloane and B. K. Teo, <a href="http://dx.doi.org/10.1063/1.449551">Theta series and magic numbers for close-packed spherical clusters</a>, J. Chem. Phys. 83 (1985) 6520-6534.

%F Expansion of theta2(q^(4/3)) * (theta2(q^2)*psi(3, q^6) + theta3(q^2)*psi(6, q^6)) in q^(1/6) where psi(k, q) = Sum_{m=-infinity..infinity} q^((m+1/k)^2) and theta2 and theta3 are Jacobi theta functions [From Sloane and Teo]. - _Sean A. Irvine_, Sep 25 2016

%K easy,nonn

%O 0,4

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Sep 25 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 02:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)