A121055 -id:A121055 - cp's OEIS frontend

A005869 Theta series of b.c.c. lattice with respect to short edge.

2, 6, 6, 8, 12, 6, 12, 18, 6, 14, 18, 12, 18, 18, 12, 12, 30, 18, 14, 24, 6, 30, 30, 12, 24, 24, 18, 24, 30, 12, 26, 42, 24, 12, 30, 18, 24, 48, 18, 36, 24, 18, 36, 30, 24, 26, 48, 18, 30, 48, 12, 36, 54, 12, 24, 30, 36, 48, 42, 30, 24, 54, 18, 26, 36, 30, 54, 54, 18, 24

Offset: 0

N. J. A. Sloane

nonn

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

G. C. Greubel, Table of n, a(n) for n = 0..1000
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.
Index entries for sequences related to b.c.c. lattice

Cf. A008443. Equals A005886/2. Cf. A121055.

QP = QPochhammer; CoefficientList[2*(QP[q^2]^2/QP[q])^3 + O[q]^70, q] (* Jean-François Alcover, Jul 05 2017, after Michael Somos *)

A121054 Sizes of successive clusters in f.c.c. lattice centered at a tetrahedral hole.

Original entry on oeis.org

4, 16, 28, 44, 68, 80, 104, 140, 152, 180, 216, 240, 276, 312, 336, 360, 420, 456, 484, 532, 544, 604, 664, 688, 736, 784, 820, 868, 928, 952, 1004, 1088, 1136, 1160, 1220, 1256, 1304, 1400, 1436, 1508, 1556, 1592, 1664, 1724, 1772, 1824, 1920, 1956, 2016, 2112

Offset: 0

N. J. A. Sloane, Aug 09 2006

nonn

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.

Partial sums of A005886. Equals 2*A121055.

cp's OEIS Frontend

A005869 Theta series of b.c.c. lattice with respect to short edge.

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