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 A052123 Log_2 of denominators of coefficients in function a(x) such that a(a(x)) = exp(x) - 1. 3
 0, 0, 1, 3, 0, 5, 7, 7, 8, 8, 12, 14, 14, 15, 16, 18, 18, 19, 21, 24, 24, 26, 28, 29, 26, 27, 32, 34, 35, 35 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 5.52. LINKS EXAMPLE x+1/4*x^2+1/48*x^3+1/3840*x^5-7/92160*x^6+1/645120*x^7+... MATHEMATICA T[n_, n_] = 1; T[n_, m_] := T[n, m] = (StirlingS2[n, m]*m!/n! - Sum[T[n, i]*T[i, m], {i, m+1, n-1}])/2; Table[n!*T[n, 1] // Denominator // Log[2, #]&, {n, 0, 29}] (* Jean-François Alcover, Mar 03 2014, after A052104 and Alois P. Heinz *) CROSSREFS Cf. A052122, A052104, A052105. Sequence in context: A249859 A213724 A019915 * A285471 A258113 A174190 Adjacent sequences:  A052120 A052121 A052122 * A052124 A052125 A052126 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane, Jan 23 2000 EXTENSIONS More terms from Vladeta Jovovic, Jul 27 2002 STATUS approved

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Last modified October 23 03:21 EDT 2018. Contains 316519 sequences. (Running on oeis4.)