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 A201732 a(n) = [x^n/n!] (1/x) * log( (n+1 - n*exp(x)) / (n+2 - (n+1)*exp(x)) ). 1
 1, 2, 18, 386, 15150, 946082, 86148762, 10776331778, 1773210244230, 371367615732002, 96462262816769586, 30433572793375652738, 11463680237091180885150, 5081782052880868302982562, 2618864991559576227420716490, 1552537179057766207300655437826 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The function log((n+1 - n*exp(x))/(n+2 - (n+1)*exp(x))) equals the (n+1)-th iteration of log(1/(2-exp(x)), the e.g.f. of A000629 (with offset 1), where A000629(n) is the number of necklaces of partitions of n+1 labeled beads. LINKS Table of n, a(n) for n=0..15. FORMULA a(n) = A201731(n+1) / (n+1). PROG (PARI) {a(n)=n!*polcoeff((1/x)*log((n+1 - n*exp(x+O(x^(n+2))))/(n+2 - (n+1)*exp(x+O(x^(n+2))))), n)} CROSSREFS Cf. A201731, A000629. Sequence in context: A336217 A226837 A152684 * A374278 A260656 A141074 Adjacent sequences: A201729 A201730 A201731 * A201733 A201734 A201735 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 04 2011 STATUS approved

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Last modified July 23 19:43 EDT 2024. Contains 374553 sequences. (Running on oeis4.)