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 A047341 Numbers that are congruent to {3, 4} mod 7. 8
 3, 4, 10, 11, 17, 18, 24, 25, 31, 32, 38, 39, 45, 46, 52, 53, 59, 60, 66, 67, 73, 74, 80, 81, 87, 88, 94, 95, 101, 102, 108, 109, 115, 116, 122, 123, 129, 130, 136, 137, 143, 144, 150, 151, 157, 158, 164, 165, 171 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers m such that m^2 == 2 (mod 7). - Vincenzo Librandi, Aug 05 2010 Numbers k such that A056107(k)/7 is an integer. - Bruno Berselli, Feb 14 2017 LINKS David Lovler, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,-1). FORMULA a(n)^2 = 7*A056834(a(n)) + 2. - Bruno Berselli, Nov 28 2010 G.f.: x*(3 + x + 3*x^2)/((1 + x)*(1 - x)^2). - R. J. Mathar, Oct 08 2011 Sum_{n>=1} (-1)^(n+1)/a(n) = Pi*tan(Pi/14)/7. - Amiram Eldar, Dec 12 2021 E.g.f.: 3 + ((14*x - 7)*exp(x) - 5*exp(-x))/4. - David Lovler, Sep 01 2022 MATHEMATICA LinearRecurrence[{1, 1, -1}, {3, 4, 10}, 50] (* Amiram Eldar, Dec 12 2021 *) PROG (PARI) a(n) = (14*n-5*(-1)^n-7)/4 \\ Charles R Greathouse IV, Jun 11 2015 CROSSREFS Cf. A056107, A056834. Sequence in context: A196101 A200816 A327300 * A091910 A131179 A079353 Adjacent sequences: A047338 A047339 A047340 * A047342 A047343 A047344 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified August 9 13:53 EDT 2024. Contains 375042 sequences. (Running on oeis4.)