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 A005919 Number of points on surface of tricapped prism: 7n^2 + 2 for n>0. (Formerly M4607) 3
 1, 9, 30, 65, 114, 177, 254, 345, 450, 569, 702, 849, 1010, 1185, 1374, 1577, 1794, 2025, 2270, 2529, 2802, 3089, 3390, 3705, 4034, 4377, 4734, 5105, 5490, 5889, 6302, 6729, 7170, 7625, 8094, 8577, 9074, 9585, 10110, 10649, 11202, 11769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558. LINKS Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992. Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992. MAPLE A005919:=-(z+1)*(z**2+5*z+1)/(z-1)**3; [Conjectured by Simon Plouffe in his 1992 dissertation.] MATHEMATICA Join[{1}, 7*Range[50]^2+2] (* or *) CoefficientList[Series[(-x^3-6x^2-6x-1)/(x-1)^3, {x, 0, 50}], x] (* Harvey P. Dale, Jan 13 2013 *) CROSSREFS Cf. A206399. Sequence in context: A195319 A073399 A225275 * A084370 A000439 A002414 Adjacent sequences:  A005916 A005917 A005918 * A005920 A005921 A005922 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Erich Friedman, Aug 08 2005 STATUS approved

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