0,2

N. J. A. Sloane and B. K. Teo, Theta series and magic numbers for close-packed spherical clusters, J. Chem. Phys. 83 (1985) 6520-6534.

N. J. A. Sloane, Table of n, a(n) for n = 0..9999

Paul Bourke, Waterman Polyhedra.

Paul Bourke, On-line generator

Martin Kraus, Live Graphics3d

Mirek Majewski, Dedicated commands in MuPAD

Wouter Meeussen, ConvexHull3D package & demo-file.

Mark Newbold, Waterman Polyhedra. CCPOLY Java Applet.

Steve Waterman, Waterman Polyhedron.

Steve Waterman, Missing numbers formula

Partial sums of A004015, which has an explicit generating function.

maxd:=20001: read format: temp0:=trunc(evalf(sqrt(maxd)))+2: a:=0: for i from -temp0 to temp0 do a:=a+q^( (i+1/2)^2): od: th2:=series(a, q, maxd): a:=0: for i from -temp0 to temp0 do a:=a+q^(i^2): od: th3:=series(a, q, maxd): th4:=series(subs(q=-q, th3), q, maxd):

t1:=series((th3^3+th4^3)/2, q, maxd): t1:=series(subs(q=sqrt(q), t1), q, floor(maxd/2)): t2:=seriestolist(t1): t4:=0; for n from 1 to nops(t2) do t4:=t4+t2[n]; lprint(n-1, t4); od: (N. J. A. Sloane, Aug 09 2006)

Cf. A004015, A004215, A055039.

Cf. A055039 [missing polyhedra]. Properties of Waterman polyhedra: A119870 [vertices], A119871 [faces], A119872 [edges], A119873 [volume]. Waterman polyhedra with different centers: A119874, A119875, A119876, A119877, A119878.

Adjacent sequences: A119866 A119867 A119868 this_sequence A119870 A119871 A119872

Sequence in context: A102907 A096455 A124199 this_sequence A106904 A106903 A098413

nonn,nice

Hugo Pfoertner (hugo(AT)pfoertner.org), May 26 2006

Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 09 2006

Additional links from Steve Waterman, Nov 26 2006