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 A051170 T(n,5), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 5 black beads and n-5 white beads. 4
 0, 1, 3, 7, 14, 25, 42, 66, 99, 143, 200, 273, 364, 476, 612, 775, 969, 1197, 1463, 1771, 2125, 2530, 2990, 3510, 4095, 4750, 5481, 6293, 7192, 8184, 9275, 10472, 11781, 13209, 14763, 16450, 18278, 20254, 22386, 24682 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,3 LINKS G. C. Greubel, Table of n, a(n) for n = 5..5000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1,1,-4,6,-4,1). FORMULA G.f.: -x^6*(x^2-x+1) / ((x-1)^5*(x^4+x^3+x^2+x+1)). - Colin Barker, Jun 05 2013 a(n) = floor(C(n,5)/n). - Alois P. Heinz, Jun 05 2013 G.f.: x^5/5 * (1/(1-x)^5 - 1/(1-x^5)). - Herbert Kociemba, Oct 16 2016 MATHEMATICA Table[Floor[Binomial[n, 5]/n], {n, 5, 50}] (* G. C. Greubel, Nov 26 2017 *) PROG (PARI) for(n=5, 30, print1(floor(binomial(n, 5)/n), ", ")) \\ G. C. Greubel, Nov 26 2017 (MAGMA) [ Floor(Binomial(n, 5)/n): n in [5..30]]; // G. C. Greubel, Nov 26 2017 CROSSREFS Cf. A000031, A001037, A051168. Same as A011795(n-1). First differences of A036837. Sequence in context: A057524 A293467 A011795 * A265252 A193911 A206417 Adjacent sequences:  A051167 A051168 A051169 * A051171 A051172 A051173 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)