Virus Magic Number

Magic Number in Virus Structure
(For the future Medicine Nobel Prize wannabe)
If you inject extra protein unit to the virus,  fool its Magic Number structure, wouldn’t the virus collapse and killed by itself ?
Magic Number limitation for Virus:
Magic numbers: 12, 32, 42, 72,92,122,132,162,192,212,252, 272, 362…
These Magic numbers play a limiting factor to the structure of viruses (which take the symmetric Platonic solid forms of dodecahedral or Icosahedral).
A similar role the Fibonacci number plays in the plant structure.
芜菁黄嵌纹病毒:  32 units of proteins
Human Wart virus (人类多瘤性病毒),BK,Rabbit Papillioma (兔子乳头瘤病毒) 72
REO 92
Herpes Simplex Virus 单纯泡疹(Cold Sore virus 口唇泡疹)162
Chicken Adenovirus 鸡腺病毒252
Infectious Canine hepatitis virus 犬类传染性肝炎病毒362
Magic Sequence : 10.n^{2} + 2
12, 32, 42, 72, 92, 122, 132, 162, 192, 212, 252, 272, 282, 312, 362, 372, 392, 432, 482, 492, 522, 572, 612, 632, 642, 672, 732, 752, 762, 792, 812, 842, 912, 932, 972, 1002, 1032, 1082, 1092, 1112, 1122, 1172, 1212, 1242, 1272, 1292, 1332, 1392, 1442, 1472 (list; graph; refs; listen; history; internal format)
OFFSET
1,1
COMMENTS
Refers to the capsomere count in virus architectural structures. Since the Loeschian numbers (A003136) of the form x^2 + xy + y^2 reduces to squares (A000290) when either x or y equals 0,a(n) contains A005901which is 10*n^2 + 2.
REFERENCES
I. Stewart, “Game, Set and Math”, Chapter 6, Table 6.1 pp. 81 Penguin London 1991.
LINKS
K. Urner, Synergetica:A case of Deja Vu
FORMULA
a(n)=10*A003136(n) + 2.
KEYWORD
nonn
AUTHOR
Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 30 2003