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 A304387 a(n) = 27*2^n - 5. 4
 22, 49, 103, 211, 427, 859, 1723, 3451, 6907, 13819, 27643, 55291, 110587, 221179, 442363, 884731, 1769467, 3538939, 7077883, 14155771, 28311547, 56623099, 113246203, 226492411, 452984827, 905969659, 1811939323, 3623878651, 7247757307, 14495514619, 28991029243, 57982058491 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS For n>0, a(n) is the number of edges in the dendrimer nanostar NS1[n] defined pictorially in the Ashrafi et al. reference (Ns1[3] is shown in Fig. 1) or in the Ahmadi et al. reference (Fig. 1). LINKS Colin Barker, Table of n, a(n) for n = 0..1000 M. B. Ahmadi and M. Sadeghimehr, Atom bond connectivity index of an infinite class NS1[n] of dendrimer nanostars, Optoelectronics and Advanced Materials, 4(7):1040-1042 July 2010. Ali Reza Ashrafi and Parisa Nikzad, KekulĂ© index and bounds of energy for nanostar dendrimers, Digest J. of Nanomaterials and Biostructures, 4, No. 2, 2009, 383-388. Index entries for linear recurrences with constant coefficients, signature (3,-2). FORMULA From Colin Barker, May 18 2018: (Start) G.f.: (22 - 17*x) / ((1 - x)*(1 - 2*x)). a(n) = 3*a(n-1) - 2*a(n-2) for n>1. (End) MAPLE seq(27*2^n-5, n = 0 .. 40); MATHEMATICA 27*2^Range[0, 40]-5 (* or *) LinearRecurrence[{3, -2}, {22, 49}, 40] (* Harvey P. Dale, Jan 12 2019 *) PROG (PARI) a(n) = 27*2^n - 5; \\ Altug Alkan, May 13 2018 (PARI) Vec((22 - 17*x) / ((1 - x)*(1 - 2*x)) + O(x^40)) \\ Colin Barker, May 18 2018 (GAP) List([1..40], n->27*2^n-5); # Muniru A Asiru, May 13 2018 CROSSREFS Cf. A304386, A250653. Sequence in context: A217751 A209186 A085381 * A039345 A043168 A043948 Adjacent sequences:  A304384 A304385 A304386 * A304388 A304389 A304390 KEYWORD nonn,easy AUTHOR Emeric Deutsch, May 13 2018 EXTENSIONS Offset changed by N. J. A. Sloane, May 13 2018 STATUS approved

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Last modified August 17 22:31 EDT 2022. Contains 356193 sequences. (Running on oeis4.)