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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.
11
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
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.
Sequence in context: A063242 A210984 A213364 * A213374 A271729 A249624
KEYWORD
nonn,tabf,hard,more
AUTHOR
Omar E. Pol, Jun 03 2012
STATUS
approved