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 A005367 a(n) = 2*(2^n + 1)*(2^(n+1) - 1). 3
 4, 18, 70, 270, 1054, 4158, 16510, 65790, 262654, 1049598, 4196350, 16781310, 67117054, 268451838, 1073774590, 4295032830, 17180000254, 68719738878, 274878431230, 1099512676350, 4398048608254, 17592190238718 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (7,-14,8). FORMULA G.f.: 2*(2 - 5*x)/((1 - x)*(1 - 2*x)*(1 - 4*x)). - Ilya Gutkovskiy, Feb 24 2017 From G. C. Greubel, Oct 21 2017: (Start) E.g.f.: 2*exp(x)*(2*exp(3*x) + exp(x) - 1). a(n) = 7*a(n-1) - 14*a(n-2) + 8*a(n-3). (End) MATHEMATICA Table[2*(2^n + 1)*(2^(n + 1) - 1), {n, 0, 50}] (* G. C. Greubel, Oct 21 2017 *) PROG (PARI) for(n=0, 50, print1(2*(2^n + 1)*(2^(n + 1) - 1), ", ")) \\ G. C. Greubel, Oct 21 2017 (MAGMA) [2*(2^n + 1)*(2^(n + 1) - 1): n in [0..50]]; // G. C. Greubel, Oct 21 2017 CROSSREFS Sequence in context: A246134 A115112 A171074 * A050184 A263582 A034352 Adjacent sequences:  A005364 A005365 A005366 * A005368 A005369 A005370 KEYWORD nonn AUTHOR EXTENSIONS An incorrect g.f. was deleted by N. J. A. Sloane, Sep 20 2008 STATUS approved

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Last modified September 29 07:08 EDT 2020. Contains 337425 sequences. (Running on oeis4.)