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A000763 Number of interval orders constructed from n intervals of generic lengths. +0
1
1, 3, 19, 195, 2831, 53703, 1264467, 35661979, 1173865927, 44218244943, 1877050837355, 88693432799667, 4618194424504623, 262771389992099719, 16223185411792992403, 1080238361814167993739, 77171781603974127429527 (list; graph; listen)
OFFSET

1,2

FORMULA

E.g.f. E(x) satisfies E'/E = y^2, where y=1+x+5*x^2/2+... is defined by y(2-exp(xy))=1.

E.g.f.: exp(int(RootOf(2*_Z-_Z*exp(x*_Z)-1)^2, x)).

CROSSREFS

Cf. A052894.

Sequence in context: A048172 A053554 A079145 this_sequence A001832 A123681 A007151

Adjacent sequences: A000760 A000761 A000762 this_sequence A000764 A000765 A000766

KEYWORD

nonn,nice,easy

AUTHOR

R. P. Stanley [ rstan(AT)math.mit.edu ]

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 04 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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