interleave sequence

Let S be a set, and let {xi},i=0,1,2, and {yi},i=0,1,2, be two sequencesMathworldPlanetmath in S. The interleave sequence is defined to be the sequence x0,y0,x1,y1,. Formally, it is the sequence {zi},i=0,1,2, given by

zi:={xk if i=2k is even,yk if i=2k+1 is odd.
Title interleave sequence
Canonical name InterleaveSequence
Date of creation 2013-03-22 11:52:12
Last modified on 2013-03-22 11:52:12
Owner djao (24)
Last modified by djao (24)
Numerical id 7
Author djao (24)
Entry type Definition
Classification msc 26A03
Classification msc 40-00
Classification msc 11A15