# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a136780 Showing 1-1 of 1 %I A136780 #9 Jun 20 2024 15:48:33 %S A136780 1,2,13,68,358,1871,9757,50825,264622,1377455,7169434,37314044, %T A136780 194200651,1010706167,5260139653,27375923678,142475405353, %U A136780 741499470476,3859061584762,20084107492055,104525763472957,543994053280925,2831163512738434,14734511818610939 %N A136780 Number of primitive multiplex juggling sequences of length n, base state <1,1,1> and hand capacity 2. %H A136780 Colin Barker, Table of n, a(n) for n = 1..1000 %H A136780 S. Butler and R. Graham, Enumerating (multiplex) juggling sequences, arXiv:0801.2597 [math.CO], 2008. %H A136780 Index entries for linear recurrences with constant coefficients, signature (7,-8,-7). %F A136780 G.f.: (x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3). %F A136780 a(n) = 7*a(n-1)-8*a(n-2)-7*a(n-3) for n>3. - _Colin Barker_, Aug 31 2016 %t A136780 LinearRecurrence[{7,-8,-7},{1,2,13},30] (* _Harvey P. Dale_, Jun 20 2024 *) %o A136780 (PARI) Vec((x-5*x^2+7*x^3)/(1-7*x+8*x^2+7*x^3) + O(x^30)) \\ _Colin Barker_, Aug 31 2016 %Y A136780 Cf. A136779. %K A136780 nonn,easy %O A136780 1,2 %A A136780 _Steve Butler_, Jan 21 2008 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE