login
A212014
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.
7
2, 6, 8, 14, 18, 20, 28, 34, 38, 40, 50, 58, 64, 68, 70, 82, 92, 100, 106, 110, 112, 126, 138, 148, 156, 162, 166, 168, 184, 198, 210, 220, 228, 234, 238, 240, 258, 274, 288, 300, 310, 318, 324, 328, 330, 350, 368, 384, 398, 410, 420, 428, 434, 438, 440, 462
OFFSET
1,1
REFERENCES
M. Goeppert Mayer, Nuclear configurations in the spin-orbit coupling model. I. Empirical evidence, Phys. Rev. 78: 16 (1950). II. Theoretical considerations, Phys. Rev. 78: 22 (1950).
FORMULA
a(n) = 2*A212013(n).
EXAMPLE
Example 1: written as a triangle in which row i is related to the (i-1)st level of nucleus. Triangle begins:
2;
6, 8;
14, 18, 20;
28, 34, 38, 40;
50, 58, 64, 68, 70;
82, 92, 100, 106, 110, 112;
126, 138, 148, 156, 162, 166, 168;
...
Column 1 gives positive terms of A033547. Right border gives positive terms of A007290.
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, 18, 20;
28,
34, 38, 40, 50;
58, 64, 68, 70, 82;
92, 100, 106, 110, 112, 126;
138, 148, 156, 162, 166, 168, 184;
...
First seven terms of right border give the "magic numbers" A018226.
CROSSREFS
Partial sums of A212012. Other versions are A210984, A212124, A213364, A213374.
Sequence in context: A271729 A249624 A104636 * A270050 A137831 A117588
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Jul 15 2012
STATUS
approved