This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A000483 Associated Stirling numbers: second order reciprocal Stirling numbers (Fekete) [[n, 3]]. The number of 3-orbit permutations of an n-set with at least 2 elements in each orbit. (Formerly M4988 N2145) 7
 15, 210, 2380, 26432, 303660, 3678840, 47324376, 647536032, 9418945536, 145410580224, 2377609752960, 41082721413120, 748459539843840, 14345340443665920, 288650580508961280, 6085390148673177600, 134167064248901376000, 3088040233895705088000, 74077507611407752704000, 1849221425299053367296000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 6,1 REFERENCES L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256. J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 75. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz, Table of n, a(n) for n = 6..200 A. E. Fekete, Apropos two notes on notation, Amer. Math. Monthly, 101 (1994), 771-778. FORMULA With alternating signs: Ramanujan polynomials psi_4(n-3, x) evaluated at 1. - Ralf Stephan, Apr 16 2004 E.g.f.: -((x+log(1-x))^3)/6. - Vladeta Jovovic, May 03 2008 Conjecture: (n-2)*(n-4)*a(n) -(n-1)*(3*n^2-21*n+35)*a(n-1) +(n-1)*(n-2)*(3*n^2-24*n+47)*a(n-2) -(n-5)*(n-1)*(n-2)*(n-3)*(n-4)*a(n-3)=0. - R. J. Mathar, Jul 18 2015 Conjecture: 3*(-n+4)*a(n) +(9*n^2-59*n+90)*a(n-1) +(-9*n^3+96*n^2-348*n+436)*a(n-2) +(n-3)*(3*n^3-45*n^2+237*n-430)*a(n-3) +5*(n-5)*(n-6)*(n-3)*(n-4)*a(n-4)=0. - R. J. Mathar, Jul 18 2015 MATHEMATICA nn=25; a=Log[1/(1-x)]-x; Drop[Range[0, nn]!CoefficientList[Series[a^3/3!, {x, 0, nn}], x], 6]  (* Geoffrey Critzer, Nov 03 2012 *) CROSSREFS Cf. A000907, A001784, A001785. A diagonal of triangle in A008306. Cf. A000276. Sequence in context: A019553 A234249 A112496 * A162785 A076139 A163091 Adjacent sequences:  A000480 A000481 A000482 * A000484 A000485 A000486 KEYWORD nonn AUTHOR EXTENSIONS More terms from Barbara Haas Margolius (margolius(AT)math.csuohio.edu), Dec 14 2000 More terms from Sean A. Irvine, Nov 14 2010 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.