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 A058692 B(n) - 1, B(n) = Bell numbers, A000110. 9
 1, 4, 14, 51, 202, 876, 4139, 21146, 115974, 678569, 4213596, 27644436, 190899321, 1382958544, 10480142146, 82864869803, 682076806158, 5832742205056, 51724158235371, 474869816156750, 4506715738447322, 44152005855084345 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 2..200 W. M. B. Dukes, Tables of matroids W. M. B. Dukes, Counting and Probability in Matroid Theory, Ph.D. Thesis, Trinity College, Dublin, 2000. W. M. B. Dukes, On the number of matroids on a finite set FORMULA G.f.: Sum_{k>1} x^k / ((1 - x) * (1 - x^2) * ... * (1 - x^k)). - Michael Somos, Feb 26 2014 EXAMPLE G.f. = x^2 + 4*x^3 + 14*x^4 + 51*x^5 + 202*x^6 + 876*x^7 + 4139*x^8 + ... MAPLE a:=n->sum(stirling2(n, k), k=2..n): seq(a(n), n=2..23); # Zerinvary Lajos, Jun 28 2007 MATHEMATICA f[n_] := Sum[ StirlingS2[n, k], {k, 2, n}]; Table[ f[n], {n, 2, 23}] (* Zerinvary Lajos, Mar 29 2007 *) Table[BellB[n, 1] - 1, {n, 2, 23}] (* Zerinvary Lajos, Jul 16 2009 *) PROG (MAGMA) [Bell(n)-1: n in [2..30]]; // Vincenzo Librandi, Mar 04 2014 CROSSREFS A diagonal of A058710. Sequence in context: A247415 A292463 A149488 * A165813 A253199 A198279 Adjacent sequences:  A058689 A058690 A058691 * A058693 A058694 A058695 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 30 2000 STATUS approved

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Last modified October 22 12:22 EDT 2018. Contains 316446 sequences. (Running on oeis4.)