The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A032295 Number of aperiodic bracelets (turn over necklaces) with n beads of 4 colors. 1
 4, 6, 16, 45, 132, 404, 1296, 4380, 15064, 53622, 192696, 703895, 2589300, 9606744, 35824088, 134297280, 505421340, 1909194056, 7234153416, 27489073899, 104717489748, 399827555604, 1529763696816 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS C. G. Bower, Transforms (2) F. Ruskey, Necklaces, Lyndon words, De Bruijn sequences, etc. [Cached copy, with permission, pdf format only] N. J. A. Sloane, Transforms FORMULA MOEBIUS transform of A032275. From Herbert Kociemba, Nov 28 2016: (Start) More generally, gf(k) is the g.f. for the number of bracelets with primitive period n and beads of k colors. gf(k): Sum_{n>=1} mu(n)*( -log(1-k*x^n)/n + Sum_{i=0..2} binomial(k,i)x^(n*i)/(1-k*x^(2*n)) )/2. (End) MATHEMATICA mx=40; gf[x_, k_]:=Sum[ MoebiusMu[n]*(-Log[1-k*x^n]/n+Sum[Binomial[k, i]x^(n i), {i, 0, 2}]/( 1-k x^(2n)))/2, {n, mx}]; CoefficientList[Series[gf[x, 4], {x, 0, mx}], x] (* Herbert Kociemba, Nov 28 2016 *) CROSSREFS Column 4 of A276550. Sequence in context: A165799 A231998 A056421 * A072279 A038236 A223269 Adjacent sequences:  A032292 A032293 A032294 * A032296 A032297 A032298 KEYWORD nonn AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 23 04:06 EDT 2022. Contains 353959 sequences. (Running on oeis4.)