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 A058692 a(n) = B(n) - 1, where B(n) = Bell numbers, A000110. 13
 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, arXiv:math/0411557 [math.CO], 2004. FORMULA G.f.: Sum_{k > 1} x^k / ((1 - x) * (1 - x^2) * ... * (1 - x^k)). - Michael Somos, Feb 26 2014 E.g.f.: exp(exp(x) - 1) - exp(x). - Ilya Gutkovskiy, Feb 08 2020 EXAMPLE G.f. = x^2 + 4*x^3 + 14*x^4 + 51*x^5 + 202*x^6 + 876*x^7 + 4139*x^8 + ... MATHEMATICA 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 Column k=2 of both A058710 and A058711 (which are the same except for column k=0). Cf. A000110. 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 April 18 02:38 EDT 2021. Contains 343072 sequences. (Running on oeis4.)