A212124 - OEIS

%I #33 Sep 03 2012 07:13:21

%S 2,6,8,14,16,20,28,32,38,40,50,58,64,68,70,82,92,100,106,110,112,126,

%T 136,142,154,162,164,168,184

%N 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.

%C First differs from A213364 at a(12).

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

%H Library of Halexandria, <a href="http://www.halexandria.org/dward472.htm">Nuclear shell model</a>, Table 1.

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

%e Example 1: written as a triangle in which apparently row i is related to the (i-1)st level of nucleus. Triangle begins:

%e 2;

%e 6,     8;

%e 14,   16,  20;

%e 28,   32,  38,  40;

%e 50,   58,  64,  68,  70;

%e 82,   92, 100, 106, 110, 112;

%e 126, 136, 142, 154, 162, 164, 168;

%e ...

%e 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:

%e 2;

%e 6,     8;

%e 14,   16,  20;

%e 28,

%e 32,   38,  40,  50;

%e 58,   64,  68,  70,  82;

%e 92,  100, 106, 110, 112, 126;

%e 136, 142, 154, 162, 164, 168, 184;

%e ...

%e First seven terms of right border give the "magic numbers" A018226.

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

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

%K nonn,tabf,hard,more

%O 1,1

%A _Omar E. Pol_, Jun 03 2012