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A275518 Number of simplices in corner-cut triangulation of the n-cube. 5
1, 2, 5, 16, 67, 364, 2445, 19296, 173015, 1728604, 19011049, 228124384, 2965598547, 41518338684, 622774990133, 9964399645504, 169394793547567, 3049106282938684 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This corrects the value of a(10) in A239911 published by Sallee in Discr. Math. 40. The correct value is for example given by Lee.

LINKS

Table of n, a(n) for n=1..18.

Lee, Carl W., Triangulating the d-cube, Annals of the New York Academy of Sciences 440 (1985): 205-211.

Sallee, John F., A note on minimal triangulations of an n-cube,  Discrete Appl. Math. 4 (1982), no. 3, 211--215. MR0675850 (84g:52019)

Sallee, John F., The middle-cut triangulations of the n-cube, SIAM J. Algebraic Discrete Methods 5 (1984), no. 3, 407--419. MR0752044 (86c:05054). See Table 2.

Sallee, John F. A triangulation of the n-cube, Discrete Math. 40 (1982), no. 1, 81--86. MR0676714 (84d:05065b)

MAPLE

p := proc(d, x)

    add( x^i/i!, i=0..d) ;

end proc:

A275518 := proc(d)

    d!*(p(d, 2)/2-p(d, 1))+2^(d-1)-d!/2+1 ;

end proc:

seq(A275518(d), d=1..18) ;

CROSSREFS

Cf. A239911, A019502, A019503, A019504, A166932.

Sequence in context: A019504 A239912 A239911 * A005163 A006116 A122082

Adjacent sequences:  A275515 A275516 A275517 * A275519 A275520 A275521

KEYWORD

nonn,easy

AUTHOR

R. J. Mathar, Jul 31 2016

STATUS

approved

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Last modified February 19 22:38 EST 2019. Contains 320328 sequences. (Running on oeis4.)