The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A296146 Number of configurations, excluding reflections and color swaps, of n beads each of six colors on a string. 3
 1, 5363, 95304160, 2254635672135, 61689337799825736, 1854290094982330189184, 59529536963190914931717120, 2006426039057377710970239751995, 70206501544183654687465441723567000, 2530662094366411886472214155427418011488, 93449587615256254621892607439280048712775680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Power Group Enumeration applies here. REFERENCES E. Palmer and F. Harary, Graphical Enumeration, Academic Press, 1973. LINKS Marko Riedel et al., Unique rows of pebbles FORMULA With Z(S_{q,|m}) = [w^q] exp(Sum_{d|m} a_d w^d/d) and parameters n,k we have for nk even, (1/2) ((nk!)/k!/n!^k + (nk/2)! 2^(nk/2) [a_2^(nk/2)] Z(S_{k,|2})(Z_{n,|2}, a_2^n/n!) and for nk odd, (1/2) ((nk!)/k!/n!^k + ((nk-1)/2)! 2^((nk-1)/2) [a_1 a_2^((nk-1)/2)] Z(S_{k,|2})(Z_{n,|2}, a_2^n/n!). This sequence has k=6. CROSSREFS Cf. A045723, A296143, A296144, A296145. Sequence in context: A145770 A258074 A237295 * A063408 A057850 A058325 Adjacent sequences:  A296143 A296144 A296145 * A296147 A296148 A296149 KEYWORD nonn AUTHOR Marko Riedel, Dec 05 2017 STATUS approved

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

Last modified March 29 20:13 EDT 2020. Contains 333117 sequences. (Running on oeis4.)