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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.
6
2, 6, 8, 14, 16, 20, 28, 32, 34, 40, 50, 56, 58, 62, 70, 82, 90, 94, 96, 102, 112, 126, 136, 142, 144, 148, 156, 168, 184, 196, 204, 208, 210, 216, 226, 240, 258, 272, 282, 288, 290, 294, 302, 314, 330, 350, 366, 378, 386, 390, 392, 398, 408, 422, 440, 462
OFFSET
1,1
FORMULA
a(n) = 2*A210983(n).
EXAMPLE
Example 1: written as a triangle in which row i is related to the (i-1)st level of nucleus the sequence begins:
2;
6, 8;
14, 16, 20;
28, 32, 34, 40;
50, 56, 58, 62, 70;
82, 90, 94, 96, 102, 112;
126, 136, 142, 144, 148, 156, 168;
184, 196, 204, 208, 210, 216, 226, 240;
258, 272, 282, 288, 290, 294, 302, 314, 330;
350, 366, 378, 386, 390, 392, 398, 408, 422, 440;
...
Column 1 gives positive terms of A033547. Right border gives positive terms of A007290.
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:
2;
6, 8;
14, 16, 20;
28;
32, 34, 40; 50;
56, 58, 62, 70; 82;
90, 94, 96, 102, 112; 126;
136, 142, 144, 148, 156, 168; 184;
196, 204, 208, 210, 216, 226, 240; 258;
272, 282, 288, 290, 294, 302, 314, 330, 350;
366, 378, 386, 390, 392, 398, 408, 422, 440, 462;
...
First seven terms of right border give the "magic numbers" A018226.
CROSSREFS
Partial sums of A162630. Other versions are A212014, A212124, A213364, A213374.
Sequence in context: A165607 A109440 A063242 * A213364 A212124 A213374
KEYWORD
nonn,tabl
AUTHOR
Omar E. Pol, Jul 14 2012
STATUS
approved