A128819 Dimensions in which the simplex has two intermediate skeletons with the same centroid.

13, 21, 29, 31, 40, 43, 51, 53, 57, 65

Offset

1,1

Comments

"There are infinitely many dimensions in which this phenomenon occurs.... They are quite sparse -- sparser than the prime integers.... It is impossible in any dimension for there to be three intermediate skeletons with the same centroid" [Krantz, p. 13].

Links

Table of n, a(n) for n=1..10.

Steven G. Krantz, Higher dimensional conundra, 8 Apr 2007, table and formula on p. 13, arXiv:0704.1041

Crossrefs

Sequence in context: A304948 A087683 A195375 * A165955 A331116 A050711

Adjacent sequences: A128816 A128817 A128818 * A128820 A128821 A128822

Keyword

nonn

Author

Jonathan Vos Post, Apr 10 2007

Status

approved