This is a resend, as I have not had any responses. Tiles I request from an 
ArcGIS Server cache using Layer.XYZ are not lining up with other layers 
requested from the same server via Layer.WMS or Layer.ArcGIS93Rest. 
 
Instead of making use of tileOrigin (which doesn't seem to get used), we make 
sure the Origin as reported by ArcGIS is contained within the maxExtent, and 
then use restrictedExtent to constrain the map area to the are we want OL to 
work within:
 
var mapoptions = {
  //tileOrigin: new OpenLayers.LonLat(-4020900,19998100), //Origin as reported 
by ArcGIS
    maxExtent: new OpenLayers.Bounds(-4020900, 4674128.11975, 2568710.79993, 
19998100), //contains the AGS origin
    restrictedExtent: new OpenLayers.Bounds(1018697.71047, 4674128.11975, 
2568710.79993, 6296981.53325),
    resolutions: new Array(3175.0063500127, 793.751587503175, 264.583862501058, 
198.437896875794, 132.291931250529, 66.1459656252646, 26.4583862501058, 
19.8437896875794, 13.2291931250529, 9.26043518753704, 6.61459656252646, 
5.29167725002117, 3.96875793751588, 2.64583862501058, 1.98437896875794, 
1.32291931250529),
    tileSize: new OpenLayers.Size(256,256),
    units: 'm',
    projection: new OpenLayers.Projection('EPSG:2193'),
    fractionalZoom: false
};
var map = new OpenLayers.Map( 'map',mapoptions );
var nzcoastwms = new OpenLayers.Layer.WMS( "Coastline",
                          
"http://ws-esrimt/arcgis/services/mapservice_asurequality_prod/MapServer/WMSServer";,
                          {layers: ['0'], format: "image/png"},
                          {isBaseLayer: true, singleTile:true, visibility: true,
                           attribution:"LINZ data Crown copyright reserved"} );
var topoxyz = new OpenLayers.Layer.XYZ( "Topo",
                    
"http://ws-esrimt/ArcGIS/rest/services/mapservice_topography_vector_prod/MapServer/tile/${z}/${y}/${x}";,
                   {isBaseLayer: false, sphericalMercator: false//, tileOrigin: 
new OpenLayers.LonLat(-4020900,19998100)
});
map.addLayers([nzcoastwms,topoxyz]);

Doing this above, requests the correct tiles, but it seems the requested tiles 
are displaced in a north-south direction. The displacement seems different 
depending on zoom level. The latter is sometimes displaced to the north, and 
sometimes to the south, depending on Zoom level. I have previously verified the 
WMS layer is in the correct location. 
 
Many thanks,
 
Robert Sanson


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