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 A005911 Number of points on surface of truncated cube: 46n^2 + 2. (Formerly M5292) 1
 1, 48, 186, 416, 738, 1152, 1658, 2256, 2946, 3728, 4602, 5568, 6626, 7776, 9018, 10352, 11778, 13296, 14906, 16608, 18402, 20288, 22266, 24336, 26498, 28752, 31098, 33536, 36066, 38688, 41402, 44208, 47106, 50096, 53178, 56352, 59618, 62976, 66426, 69968 (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; arXiv:0911.4975 [math.NT], 2009. Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992 Index entries for linear recurrences with constant coefficients, signature (3, -3, 1). FORMULA a(0)=1, a(1)=48, a(2)=186, a(3)=416, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, Aug 19 2014 MAPLE A005911:=-(z+1)*(z**2+44*z+1)/(z-1)**3; [Conjectured by Simon Plouffe in his 1992 dissertation.] MATHEMATICA Join[{1}, Table[46n^2+2, {n, 50}]] (* or *) Join[{1}, LinearRecurrence[{3, -3, 1}, {48, 186, 416}, 50]] (* Harvey P. Dale, Aug 19 2014 *) PROG (PARI) a(n)=if(n, 46*n^2+2, 1) \\ Charles R Greathouse IV, Oct 20 2022 CROSSREFS Sequence in context: A066134 A233682 A233675 * A130566 A233792 A233967 Adjacent sequences: A005908 A005909 A005910 * A005912 A005913 A005914 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Harvey P. Dale, Aug 19 2014 STATUS approved

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Last modified December 2 18:27 EST 2022. Contains 358510 sequences. (Running on oeis4.)