A212124 Total number of states of the first n subshells of the nuclear shell model in which the subshells are ordered by energy level in increasing order.

2, 6, 8, 14, 16, 20, 28, 32, 38, 40, 50, 58, 64, 68, 70, 82, 92, 100, 106, 110, 112, 126, 136, 142, 154, 162, 164, 168, 184

Offset

1,1

Comments

First differs from A213364 at a(12).

References

M. Goeppert Mayer and J. Hans D. Jensen, Elementary Theory of Nuclear Shell Structure, J. Wiley and Sons, Inc. (1955).

Links

Table of n, a(n) for n=1..29.

Library of Halexandria, Nuclear shell model, Table 1.

Formula

a(n) = 2*A212123(n).

Example

Example 1: written as a triangle in which apparently row i is related to the (i-1)st level of nucleus. Triangle begins:
2;
6,     8;
14,   16,  20;
28,   32,  38,  40;
50,   58,  64,  68,  70;
82,   92, 100, 106, 110, 112;
126, 136, 142, 154, 162, 164, 168;
...
Example 2: written as an irregular triangle in which row j is related to the j-th shell of nucleus. In this case note that row 4 has only one term. Triangle begins:
2;
6,     8;
14,   16,  20;
28,
32,   38,  40,  50;
58,   64,  68,  70,  82;
92,  100, 106, 110, 112, 126;
136, 142, 154, 162, 164, 168, 184;
...
First seven terms of right border give the "magic numbers" A018226.

Crossrefs

Partial sums of A212122. Other versions are A210984, A212014, A213364, A213374.

Cf. A007290, A018226, A033547, A210842, A212121, A212123.

Sequence in context: A063242 A210984 A213364 * A213374 A271729 A249624

Adjacent sequences: A212121 A212122 A212123 * A212125 A212126 A212127

Keyword

nonn,tabf,hard,more

Author

Omar E. Pol, Jun 03 2012

Status

approved