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A071336 Number of vertices of Goldberg-Casper-Klug pseudo-icosahedra. 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; text; 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 reduce to squares (A000290) when either x or y equals 0, a(n) contains A005901 which is 10*n^2 + 2.
REFERENCES
I. Stewart, "Game, Set and Math", Chapter 6, Table 6.1 pp. 81 Penguin London 1991.
LINKS
FORMULA
a(n) = 10*A003136(n+1) + 2. [corrected by Georg Fischer, Jun 17 2020]
MATHEMATICA
10 # + 2 & /@ Rest@ Flatten[Position[CoefficientList[QPochhammer[q]^3/QPochhammer[q^3]/3 + O[q]^150, q], n_ /; n != 0] - 1] (* Michael De Vlieger, Jun 17 2020, after Jean-François Alcover at A003136 *)
CROSSREFS
Sequence in context: A334606 A242371 A118785 * A248817 A051519 A305074
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Oct 30 2003
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)