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A005919
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Number of points on surface of tricapped prism: 7n^2 + 2 for n>0.
(Formerly M4607)
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3
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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;
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listen;
history;
text;
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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).
B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
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LINKS
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Table of n, a(n) for n=0..41.
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992
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MAPLE
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A005919:=-(z+1)*(z**2+5*z+1)/(z-1)**3; [Conjectured by Simon Plouffe in his 1992 dissertation.]
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A206399.
Sequence in context: A195319 A073399 A225275 * A084370 A000439 A002414
Adjacent sequences: A005916 A005917 A005918 * A005920 A005921 A005922
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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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EXTENSIONS
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More terms from Erich Friedman, Aug 08 2005
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STATUS
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approved
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