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 A102841 a(n) = ((9*n^2 + 33*n + 26)*2^n + (-1)^n)/27. 1
 1, 5, 19, 61, 179, 493, 1299, 3309, 8211, 19949, 47635, 112109, 260627, 599533, 1366547, 3089901, 6937107, 15476205, 34331155, 75769325, 166451731, 364127725, 793500179, 1723082221, 3729512979, 8048092653, 17319057939 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A floretion-generated sequence relating the number of edges and faces in n-dimensional hypercube. Equals A001787, (1, 4, 12, 32, 80,...) convolved with A001045, the Jacobsthal sequence. - Gary W. Adamson, May 23 2009 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (5,-6,-4,8). FORMULA G.f.: 1/((1+x)*(1-2*x)^3). a(n+1) - 2*a(n) = A045883(n+2). a(n) + a(n+1) = A001788(n+2). MATHEMATICA Table[(1/27)*((9 n^2 + 33 n + 26) 2^n + (-1)^n), {n, 0, 50}] (* or *) LinearRecurrence[{5, -6, -4, 8}, {1, 5, 19, 61}, 50] (* G. C. Greubel, Sep 27 2017 *) CROSSREFS Cf. A045883, A001788, A001793, A102301. Cf. A001787, A001045. [Gary W. Adamson, May 23 2009] Sequence in context: A189714 A128638 A036630 * A036637 A036644 A000342 Adjacent sequences:  A102838 A102839 A102840 * A102842 A102843 A102844 KEYWORD nonn AUTHOR Creighton Dement, Feb 27 2005 EXTENSIONS Corrected by T. D. Noe, Nov 08 2006 STATUS approved

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