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 A078344 a(1)=1; a(2)=2; a(3)=3; a(n) = sum(k=3,n-1,a(k) + a(k-1) + a(k-2) ). 0
 1, 2, 3, 6, 17, 43, 109, 278, 708, 1803, 4592, 11695, 29785, 75857, 193194, 492030, 1253111, 3191446, 8128033, 20700623, 52720725, 134270106, 341961560, 870913951, 2218059568, 5648994647, 14386962813, 36640979841, 93317917142 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Index entries for linear recurrences with constant coefficients, signature (2,1,1). FORMULA a(n) is asymptotic to a*b^n where a = 0.1570450524507584150437292... and b is the real root of: x^3 - 2*x^2 - x - 1; b = 2.546818276884082079135997.. a(n) = 2*a(n-1)+a(n-2)+a(n-3) for n>4. G.f.: x*(3*x^3+2*x^2-1) / (x^3+x^2+2*x-1). - Colin Barker, Jun 24 2013 CROSSREFS Sequence in context: A018284 A204514 A338594 * A024498 A319283 A325298 Adjacent sequences:  A078341 A078342 A078343 * A078345 A078346 A078347 KEYWORD nonn,easy AUTHOR Benoit Cloitre, Nov 22 2002 STATUS approved

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Last modified May 11 01:05 EDT 2021. Contains 343784 sequences. (Running on oeis4.)