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A112101
Number of interval orders of magnitude n having no duplicate holdings (NODH).
0
1, 3, 10, 58, 722, 19826, 1161882, 141436842, 35192653666, 17733070720738, 17997787816364330, 36678689328450847514, 149831453090755680149490, 1225618861520566592060441682, 20064594684596858150355969600442, 657195622713393693107201875915723402
OFFSET
0,2
REFERENCES
W. T. Trotter, Combinatorics and Partially Ordered Sets, Johns Hopkins, 1992; see p. 195.
FORMULA
a(n) = Sum_{k=0..n} binomial(n, k)*A111491(k).
CROSSREFS
Sequence in context: A274585 A333031 A242953 * A159321 A181077 A158873
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 28 2005
STATUS
approved