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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

Index entries for sequences related to matroids

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 21 04:44 EDT 2018. Contains 316404 sequences. (Running on oeis4.)