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Conference rusure::math

Title:	Mathematics at DEC

Moderator:	RUSURE::EDP

Created:	Mon Feb 03 1986
Last Modified:	Fri Jun 06 1997
Last Successful Update:	Fri Jun 06 1997
Number of topics:	2083
Total number of notes:	14613

353.0. "An intersting sequence" by TOOLS::STAN () Thu Oct 17 1985 14:36

(James Propp and Mike Filaseta)

Take a fixed prime p.  Let a[0]=0 and for n>0, define a[n] as the least
non-negative integer such that the relation

	a[n]=a[n-d]=a[n-2d]=...=a[n-(p-1)d]

does NOT hold for any positive integer d<=n/(p-1).

Prove or disprove that for all k>=0 and 0<=r<=p-1,

			pa[k]+r
	a[pk+r] = floor(-------)
			  p-1

T.R	Title	User	Personal Name	Date	Lines
353.1	see note 647	CLT::GILBERT	eager like a child	`Tue Apr 21 1987 12:33`	0