cp's OEIS Frontend

A210984 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.

%I A210984 #13 Jul 22 2012 17:21:15
%S A210984 2,6,8,14,16,20,28,32,34,40,50,56,58,62,70,82,90,94,96,102,112,126,
%T A210984 136,142,144,148,156,168,184,196,204,208,210,216,226,240,258,272,282,
%U A210984 288,290,294,302,314,330,350,366,378,386,390,392,398,408,422,440,462
%N A210984 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.
%F A210984 a(n) = 2*A210983(n).
%e A210984 Example 1: written as a triangle in which row i is related to the (i-1)st level of nucleus the sequence begins:
%e A210984 2;
%e A210984 6,     8;
%e A210984 14,   16,  20;
%e A210984 28,   32,  34,  40;
%e A210984 50,   56,  58,  62,  70;
%e A210984 82,   90,  94,  96, 102, 112;
%e A210984 126, 136, 142, 144, 148, 156, 168;
%e A210984 184, 196, 204, 208, 210, 216, 226, 240;
%e A210984 258, 272, 282, 288, 290, 294, 302, 314, 330;
%e A210984 350, 366, 378, 386, 390, 392, 398, 408, 422, 440;
%e A210984 ...
%e A210984 Column 1 gives positive terms of A033547. Right border gives positive terms of A007290.
%e A210984 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 A210984 2;
%e A210984 6,     8;
%e A210984 14,   16,  20;
%e A210984 28;
%e A210984 32,   34,  40;  50;
%e A210984 56,   58,  62,  70;  82;
%e A210984 90,   94,  96, 102, 112; 126;
%e A210984 136, 142, 144, 148, 156, 168; 184;
%e A210984 196, 204, 208, 210, 216, 226, 240; 258;
%e A210984 272, 282, 288, 290, 294, 302, 314, 330, 350;
%e A210984 366, 378, 386, 390, 392, 398, 408, 422, 440, 462;
%e A210984 ...
%e A210984 First seven terms of right border give the "magic numbers" A018226.
%Y A210984 Partial sums of A162630. Other versions are A212014, A212124, A213364, A213374.
%Y A210984 Cf. A018226, A033547, A007290, A130517, A210983.
%K A210984 nonn,tabl
%O A210984 1,1
%A A210984 _Omar E. Pol_, Jul 14 2012