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A182322 Number of simplicial 4-clusters with n cells. (Formerly M2679) 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Some of the terms in the Hering article are in error, including the 6th, 8th and 9th.

REFERENCES

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).

LINKS

Table of n, a(n) for n=1..25.

FORMULA

(A007175+A182299)/2

CROSSREFS

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

KEYWORD

nonn,easy

AUTHOR

Robert A. Russell, Apr 24 2012

STATUS

approved

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Last modified July 30 03:15 EDT 2014. Contains 245051 sequences.