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%I #14 Jul 22 2012 17:21:27
%S 2,6,8,14,18,20,28,34,38,40,50,58,64,68,70,82,92,100,106,110,112,126,
%T 138,148,156,162,166,168,184,198,210,220,228,234,238,240,258,274,288,
%U 300,310,318,324,328,330,350,368,384,398,410,420,428,434,438,440,462
%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.
%D 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).
%F a(n) = 2*A212013(n).
%e Example 1: written as a triangle in which row i is related to the (i-1)st level of nucleus. Triangle begins:
%e 2;
%e 6, 8;
%e 14, 18, 20;
%e 28, 34, 38, 40;
%e 50, 58, 64, 68, 70;
%e 82, 92, 100, 106, 110, 112;
%e 126, 138, 148, 156, 162, 166, 168;
%e ...
%e Column 1 gives positive terms of A033547. Right border gives positive terms of A007290.
%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, 18, 20;
%e 28,
%e 34, 38, 40, 50;
%e 58, 64, 68, 70, 82;
%e 92, 100, 106, 110, 112, 126;
%e 138, 148, 156, 162, 166, 168, 184;
%e ...
%e First seven terms of right border give the "magic numbers" A018226.
%Y Partial sums of A212012. Other versions are A210984, A212124, A213364, A213374.
%Y Cf. A004736, A007290, A033547, A018226, A212013.
%K nonn,tabf
%O 1,1
%A _Omar E. Pol_, Jul 15 2012
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