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 A298078 a(n) = 7*n^2 - 7*n - 43. 2
 -43, -29, -1, 41, 97, 167, 251, 349, 461, 587, 727, 881, 1049, 1231, 1427, 1637, 1861, 2099, 2351, 2617, 2897, 3191, 3499, 3821, 4157, 4507, 4871, 5249, 5641, 6047, 6467, 6901, 7349, 7811, 8287, 8777, 9281, 9799, 10331, 10877, 11437, 12011, 12599, 13201, 13817, 14447, 15091, 15749, 16421, 17107 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Charles Kusniec, Modularity Study For U(L;C)=7L^2-7L-43 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA From Colin Barker, Jan 14 2018: (Start) G.f.: -x*(43 - 100*x + 43*x^2) / (1 - x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>3. (End) E.g.f.: 43 + exp(x)*(-43 + 7*x^2). - Stefano Spezia, Oct 17 2019 MATHEMATICA Array[7 #^2 - 7 # - 43 &, 48] (* Michael De Vlieger, Jan 11 2018 *) PROG (PARI) Vec(-x*(43 - 100*x + 43*x^2) / (1 - x)^3 + O(x^60)) \\ Colin Barker, Jan 14 2018 CROSSREFS Cf. A272077. Sequence in context: A033363 A187088 A127147 * A291494 A051614 A291479 Adjacent sequences:  A298075 A298076 A298077 * A298079 A298080 A298081 KEYWORD sign,easy AUTHOR Charles Kusniec, Jan 11 2018 STATUS approved

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Last modified May 8 12:57 EDT 2021. Contains 343666 sequences. (Running on oeis4.)