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 A296964 Expansion of (x*exp(x)-1)/(1-x). 1
 0, 1, 2, 9, 40, 205, 1236, 8659, 69280, 623529, 6235300, 68588311, 823059744, 10699776685, 149796873604, 2246953104075, 35951249665216, 611171244308689, 11001082397556420, 209020565553571999, 4180411311071440000, 87788637532500240021, 1931350025715005280484, 44421050591445121451155 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Number of quasilinear weak orderings R on {1,...,n} and for which {1,...,n} has exactly one maximal element for the quasilinear weak ordering R. Essentially the same as A038156. - R. J. Mathar, Jan 02 2018 LINKS Table of n, a(n) for n=0..23. J. Devillet, Bisymmetric and quasitrivial operations: characterizations and enumerations, [math.RA] arXiv:1712.07856 (2017). FORMULA a(n) = A002627(n)-1, a(0)=0, a(1)=1. MATHEMATICA Join[{0, 1}, Drop[With[{nn=30}, CoefficientList[Series[(x*Exp[x]-1)/(1-x), {x, 0, nn}], x] Range[0, nn]!], 2]] (* Harvey P. Dale, Apr 02 2018 *) CROSSREFS Cf. A002627, A038156. Sequence in context: A052512 A166554 A038156 * A261047 A052846 A293152 Adjacent sequences: A296961 A296962 A296963 * A296965 A296966 A296967 KEYWORD nonn,easy AUTHOR J. Devillet, Dec 22 2017 STATUS approved

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Last modified June 21 23:48 EDT 2024. Contains 373560 sequences. (Running on oeis4.)