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 A158066 a(n) = 49*n + 1. 2
 50, 99, 148, 197, 246, 295, 344, 393, 442, 491, 540, 589, 638, 687, 736, 785, 834, 883, 932, 981, 1030, 1079, 1128, 1177, 1226, 1275, 1324, 1373, 1422, 1471, 1520, 1569, 1618, 1667, 1716, 1765, 1814, 1863, 1912, 1961, 2010, 2059, 2108, 2157, 2206 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The identity (49*n + 1)^2 - (49*n^2 + 2*n)*7^2 = 1 can be written as a(n)^2 - A157365(n)*7^2 = 1. - Vincenzo Librandi, Feb 11 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA G.f.: x*(50-x)/(1-x)^2. - Vincenzo Librandi, Feb 11 2012 a(n) = 2*a(n-1) - a(n-2). - Vincenzo Librandi, Feb 11 2012 MATHEMATICA LinearRecurrence[{2, -1}, {50, 99}, 50] (* Vincenzo Librandi, Feb 11 2012 *) PROG (Magma) I:=[50, 99]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 11 2012 (PARI) for(n=1, 50, print1(49*n + 1", ")); \\ Vincenzo Librandi, Feb 11 2012 CROSSREFS Cf. A157365. Sequence in context: A328253 A044139 A044520 * A328305 A304840 A043220 Adjacent sequences: A158063 A158064 A158065 * A158067 A158068 A158069 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Mar 12 2009 STATUS approved

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Last modified June 22 09:29 EDT 2024. Contains 373568 sequences. (Running on oeis4.)