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A012249 Volume of a certain rational polytope whose points with given denominator count certain sets of Standard Tableaux. 1
1, 2, 5, 24, 154, 1280, 13005, 156800, 2189725, 34793472, 620169186, 12259602432, 266267950740, 6304157663232, 161624247752253, 4461403146190848 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It should be noticed that Richard Stanley's formula (cf. A012250) gives a(9) = 2189726 instead of 2189725. - Jean-François Alcover, Nov 28 2013

REFERENCES

D n Verma, Towards Classifying Finite Point-Set Configurations, preprint, 1997.

LINKS

Table of n, a(n) for n=1..16.

MathOverflow, Access to a preprint by D. N. Verma, Feb 2013.

MATHEMATICA

a[n_] := 2^(n-2)*Sum[(-1)^(j+1)*(n/2-j+1)^(n-1)*Binomial[n+2, j], {j, 0, Ceiling[n/2]}]; Table[a[n], {n, 1, 16}] (* Jean-François Alcover, Nov 25 2013, after Richard Stanley's formula *)

CROSSREFS

Cf. A012250.

Sequence in context: A054131 A086635 A020124 * A303108 A331035 A052808

Adjacent sequences:  A012246 A012247 A012248 * A012250 A012251 A012252

KEYWORD

nonn,more

AUTHOR

D n Verma

STATUS

approved

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Last modified October 25 00:01 EDT 2020. Contains 338010 sequences. (Running on oeis4.)