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A005903
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Number of points on surface of dodecahedron: 30n^2 + 2 for n > 0.
(Formerly M5230)
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2
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1, 32, 122, 272, 482, 752, 1082, 1472, 1922, 2432, 3002, 3632, 4322, 5072, 5882, 6752, 7682, 8672, 9722, 10832, 12002, 13232, 14522, 15872, 17282, 18752, 20282, 21872, 23522, 25232, 27002, 28832, 30722, 32672, 34682, 36752, 38882, 41072, 43322, 45632, 48002
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Bruno Berselli, Table of n, a(n) for n = 0..1000
H. S. M. Coxeter, Polyhedral Numbers, in R. S. Cohen et al., editors, For Dirk Struik. Reidel, Dordrecht, 1974, pp. 25-35.
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992
B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985),4545-4558.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
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G.f.: (1+x)*(1+28*x+x^2)/(1-x)^3. - Simon Plouffe (see MAPLE line)
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MAPLE
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A005903:=-(z+1)*(z**2+28*z+1)/(z-1)**3; [Simon Plouffe in his 1992 dissertation.]
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MATHEMATICA
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Join[{1}, 30 Range[40]^2 + 2] (* Bruno Berselli, Feb 07 2012 *)
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PROG
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(PARI) a(n) = if (n==0, 1, 30*n^2+2); \\ Michel Marcus, Mar 04 2014
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CROSSREFS
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Cf. A206399.
Sequence in context: A223314 A203965 A203958 * A344219 A271532 A264480
Adjacent sequences: A005900 A005901 A005902 * A005904 A005905 A005906
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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