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A213374 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. 8

%I #19 Sep 03 2012 07:13:27

%S 2,6,8,14,16,20,28,32,38,40,50,58,64,76,80,82,90,100,114,118,124,126

%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 A212124 at a(14). For more information see A213372.

%H MIT OpenCourseWare, <a href="http://www.flickr.com/photos/mitopencourseware/3772864128/in/set-72157621892931990">Energy Levels of Nucleons in a Smoothly-Varying Potential Well</a>

%F a(n) = 2*A213373(n).

%e Written as an irregular triangle in which row j is related to the j-th shell of nucleus. 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, 76, 80, 82;

%e 90, 100, 114, 118, 124, 126;

%e ...

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

%Y Partial sums of A213372. Other versions are A210984, A212014, A212124, A213364.

%Y Cf. A018226, A213371, A213373.

%K nonn,tabf,hard,more

%O 1,1

%A _Omar E. Pol_, Jul 16 2012

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