A128819 - OEIS

A128819

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

13, 21, 29, 31, 40, 43, 51, 53, 57, 65 (list; graph; refs; listen; history; text; internal format)

	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`

Last modified May 28 00:30 EDT 2022. Contains 354110 sequences. (Running on oeis4.)