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 A177044 a(n) = 103*(n-1)-a(n-1) with n>1, a(1)=38. 5
 38, 65, 141, 168, 244, 271, 347, 374, 450, 477, 553, 580, 656, 683, 759, 786, 862, 889, 965, 992, 1068, 1095, 1171, 1198, 1274, 1301, 1377, 1404, 1480, 1507, 1583, 1610, 1686, 1713, 1789, 1816, 1892, 1919, 1995, 2022, 2098, 2125, 2201, 2228, 2304, 2331, 2407, 2434, 2510, 2537 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Positive numbers k such that k^2 == 2 (mod 103). LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,-1). FORMULA a(n) = (103+49*(-1)^(n-1)+206*(n-1))/4. G.f.: x*(38+27*x+38*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Aug 24 2011 Sum_{n>=1} (-1)^(n+1)/a(n) = tan(27*Pi/206)*Pi/103. - Amiram Eldar, Feb 28 2023 MATHEMATICA CoefficientList[Series[(38 + 27 x + 38 x^2)/((1 + x) (x - 1)^2), {x, 0, 50}], x] (* Vincenzo Librandi, Sep 24 2014 *) LinearRecurrence[{1, 1, -1}, {38, 65, 141}, 50] (* Harvey P. Dale, Nov 21 2021 *) PROG (Magma) [(103+49*(-1)^(n-1)+206*(n-1))/(4): n in [1..50]]; CROSSREFS Sequence in context: A193568 A039466 A216140 * A321997 A343974 A335483 Adjacent sequences: A177041 A177042 A177043 * A177045 A177046 A177047 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Dec 09 2010 STATUS approved

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Last modified June 15 18:09 EDT 2024. Contains 373410 sequences. (Running on oeis4.)