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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.
10

%I #24 Jul 22 2012 17:21:37

%S 2,6,8,14,16,20,28,32,38,40,50,56,64,66,70,82,90,94,108,118,120,126,

%T 136,148,164,170,172,180,184

%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 A212124 at a(12).

%D I. Talmi, Simple Models of Complex Nuclei, Hardwood Academic Publishers (1993).

%F a(n) = 2*A213363(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 56, 64, 66, 70, 82;

%e 90, 94, 108, 118, 120, 126;

%e 136, 148, 164, 170, 172, 180, 184;

%e ...

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

%Y Partial sums of A213362. Other versions are A210984, A212014, A212124, A213374.

%Y Cf. A018226, A212121-A212124, A213361, A213363.

%K nonn,tabf,hard,more

%O 1,1

%A _Omar E. Pol_, Jun 23 2012