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

Author

Omar E. Pol, Jun 03 2012

Keywords

• nonn
• tabf
• hard
• more

Comments

First differs from A213364 at a(12).

Examples

			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.
		

References

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

Links

• Library of Halexandria, Nuclear shell model, Table 1.

Crossrefs

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

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

Formula

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