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A182322
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Number of simplicial 4-clusters with n cells. (Formerly M2679)
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2
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1, 1, 1, 3, 7, 30, 131, 795, 5152, 36800, 272093, 2077909, 16176607, 127996683, 1025727646, 8310377720, 67967600763, 560527576100, 4656993996246, 38949328897318, 327718211568300, 2772480181758683, 23571996461405321, 201327668784954950, 1726755218246463325
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OFFSET
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1,4
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COMMENTS
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Some of the terms in the Hering article are in error, including the 6th, 8th and 9th.
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REFERENCES
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F. Hering et al., The enumeration of stack polytopes and simplicial clusters, Discrete Math., 40 (1982), 203-217.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=1..25.
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FORMULA
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(A007175+A182299)/2
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CROSSREFS
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This is the average of A007175 and A182299, both of which have Mathematica programs.
Sequence in context: A201794 A188229 A098644 * A132105 A019021 A110505
Adjacent sequences: A182319 A182320 A182321 * A182323 A182324 A182325
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KEYWORD
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nonn,easy
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AUTHOR
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Robert A. Russell, Apr 24 2012
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STATUS
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approved
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