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A058692 a(n) = B(n) - 1, where B(n) = Bell numbers, A000110. 14
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 30 2000
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)