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 A208192 Number of distinct 7-colored necklaces with n beads per color. 2
 1, 720, 48648960, 8690922240480, 2374127830286012160, 823940558733748910598720, 333504309246734399617946903040, 150277870737901828652705825755721760, 73288704867601350013562616043249358012160, 37980016035292737119901943600678905519608160480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..60 FORMULA a(n) = Sum_{d|n} phi(n/d)*(7*d)!/(d!^7*7*n) if n>0 and a(0) = 1. a(n) ~ 7^(7*n-1/2) / (8 * Pi^3 * n^4). - Vaclav Kotesovec, Aug 23 2015 EXAMPLE a(0) = 1: the empty necklace. a(1) = 720: {0123456, 0123465, ..., 0654321}. MAPLE with(numtheory): a:= n-> `if`(n=0, 1, add(phi(n/d) *(7*d)!/(d!^7 *7*n), d=divisors(n))): seq(a(n), n=0..12); CROSSREFS Column k=7 of A208183. Cf. A000010, A000142. Sequence in context: A151596 A068300 A003792 * A258927 A195390 A261427 Adjacent sequences: A208189 A208190 A208191 * A208193 A208194 A208195 KEYWORD nonn AUTHOR Alois P. Heinz, Feb 24 2012 STATUS approved

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Last modified December 2 20:59 EST 2022. Contains 358510 sequences. (Running on oeis4.)