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 A140298 a(0)=1; a(3n+1) = a(3n)+1, a(3n+2) = a(3n+1) + a(3n) (=3*A000244), a(3n+3) = a(3n+2) + a(3n) (=A003462(n+2)). 3
 1, 2, 3, 4, 5, 9, 13, 14, 27, 40, 41, 81, 121, 122, 243, 364, 365, 729, 1093, 1094, 2187, 3280, 3281, 6561, 9841, 9842, 19683, 29524, 29525, 59049, 88573, 88574, 177147, 265720, 265721, 531441, 797161, 797162, 1594323, 2391484, 2391485, 4782969, 7174453, 7174454 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Note period 12 for a(n) mod 10. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (-1,-1,3,3,3) FORMULA From R. J. Mathar, Jan 17 2009: (Start) G.f.: (1 + 3*x + 6*x^2 + 6*x^3 + 3*x^4)/((1 + x + x^2)*(1 - 3*x^3)). a(n) = -a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) + 3*a(n-5). a(n) = (3*b(n)-A049347(n))/2 where b(n)=1,1,2,3,3,6,9,9,18,27,27,54,.. = 3*b(n-3). (End) PROG (PARI) Vec((1+3*x+6*x^2+6*x^3+3*x^4)/((1+x+x^2)*(1-3*x^3))+O(x^99)) \\ Charles R Greathouse IV, Jun 20 2011 CROSSREFS Cf. A107365. Sequence in context: A101526 A264994 A319720 * A253181 A107365 A026484 Adjacent sequences:  A140295 A140296 A140297 * A140299 A140300 A140301 KEYWORD nonn,easy AUTHOR Paul Curtz, May 25 2008 EXTENSIONS a(27)-a(43) added by Andrew Howroyd, Nov 03 2018 STATUS approved

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Last modified May 24 20:53 EDT 2019. Contains 323534 sequences. (Running on oeis4.)