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 A168331 a(n) = (5 + 14*n + 7*(-1)^n)/4. 3
 3, 10, 10, 17, 17, 24, 24, 31, 31, 38, 38, 45, 45, 52, 52, 59, 59, 66, 66, 73, 73, 80, 80, 87, 87, 94, 94, 101, 101, 108, 108, 115, 115, 122, 122, 129, 129, 136, 136, 143, 143, 150, 150, 157, 157, 164, 164, 171, 171, 178, 178, 185, 185, 192, 192, 199, 199, 206, 206 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Essentially the same as A168376. 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) = 7*n - a(n-1) - 1, with n > 1, a(1)=3. G.f.: x*(3+7*x-3*x^2) / ((1+x)*(x-1)^2). - R. J. Mathar, Jan 05 2011 a(1)=3, a(2)=10, a(3)=10; for n>3, a(n) = a(n-1)+a(n-2)-a(n-3). - Harvey P. Dale, Oct 24 2011 E.g.f.: (1/4)*(7 - 12*exp(x) + (5 + 14*x)*exp(2*x))*exp(-x). - G. C. Greubel, Jul 18 2016 MAPLE A168331:=n->(5+14*n+7*(-1)^n)/4: seq(A168331(n), n=1..100); # Wesley Ivan Hurt, May 03 2017 MATHEMATICA Table[5/4 + 7n/2 + 7 (-1)^n/4, {n, 60}] (* or *) LinearRecurrence[{1, 1, -1}, {3, 10, 10}, 60] (* Harvey P. Dale, Oct 24 2011 *) CoefficientList[Series[- (- 3 - 7 x + 3 x^2)/((1 + x) (x - 1)^2), {x, 0, 70}], x] (* Vincenzo Librandi, Sep 17 2013 *) PROG (MAGMA) [5/4+7*n/2+7*(-1)^n/4: n in [1..70]]; // Vincenzo Librandi, Sep 17 2013 CROSSREFS Cf. A017017, A168376. Sequence in context: A038228 A213214 A009030 * A212354 A129489 A104702 Adjacent sequences:  A168328 A168329 A168330 * A168332 A168333 A168334 KEYWORD nonn,easy,less AUTHOR Vincenzo Librandi, Nov 23 2009 EXTENSIONS New definition by R. J. Mathar, Jan 05 2011 STATUS approved

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Last modified May 15 01:50 EDT 2021. Contains 343909 sequences. (Running on oeis4.)