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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

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 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

N. J. A. Sloane.

EXTENSIONS

More terms from Erich Friedman, Aug 08 2005

STATUS

approved

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Last modified June 25 09:56 EDT 2017. Contains 288709 sequences.