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 A006062 Star-hex numbers. (Formerly M5265) 7
 1, 37, 1261, 42841, 1455337, 49438621, 1679457781, 57052125937, 1938092824081, 65838103892821, 2236557439531837, 75977114840189641, 2580985347126915961, 87677524687474953037, 2978454854027021487301, 101179787512231255615201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES M. Gardner, Time Travel and Other Mathematical Bewilderments. Freeman, NY, 1988, p. 22. H. J. Hindin, Stars, hexes, triangular numbers and Pythagorean triples, J. Rec. Math., 16 (1983/1984), 191-193. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Table of n, a(n) for n=1..16. H. J. Hindin, Stars, hexes, triangular numbers and Pythagorean triples, J. Rec. Math., 16 (1983/1984), 191-193. (Annotated scanned copy) 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 (35, -35, 1). FORMULA a(n) = 34*a(n-1) - a(n-2) + 4. G.f.: -x*(x + 1)^2/(x - 1)/(x^2 - 34*x + 1). [from Simon Plouffe, see Maple code]. From Charlie Marion, Aug 03 2005: (Start) a(n) = A001109(n-1)^2 + A001109(n)^2; e.g., 1261 = 6^2 + 35^2. a(n) = A001652(n-1)*A046090(n-1) + A001653(n-1)^2; e.g., 1261 = 20*21 + 29^2. (End) MAPLE A006062:=-(z+1)**2/(z-1)/(z**2-34*z+1); [Simon Plouffe in his 1992 dissertation for offset zero.] CROSSREFS Sequence in context: A099201 A218841 A246461 * A219420 A162851 A163220 Adjacent sequences: A006059 A006060 A006061 * A006063 A006064 A006065 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Jul 11 1991 STATUS approved

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Last modified September 27 10:59 EDT 2023. Contains 365688 sequences. (Running on oeis4.)