QGIS: Create new equidistant points along a line based on attribute data

PointsAlongLine.py

# -------------------------------
# Original Author : ndawson
# -------------------------------

from qgis.core import QgsFeature, QgsVectorFileWriter, QgsGeometry

def create_points(feat,writer):
    geometry = feat.constGeometry()
    if not geometry:
        return
    length = geometry.length()
    # -----------------
    # change 'num_points' to match your field name for the number of points field
    # -----------------
    num_points = feat['utenze']
    delta = length / ( num_points + 1.0 )
    distance = 0.0
    for i in range(num_points):
        distance += delta
        output_feature = QgsFeature(feat)
        output_feature.setGeometry( geometry.interpolate(distance) )
        writer.addFeature(output_feature)

layer = iface.activeLayer()

# ---------------
# change 'C:\mydata\points.shp' to desired output file name
# ---------------

writer = QgsVectorFileWriter('C:\mydata\points.shp',None, layer.fields(), QGis.WKBPoint, layer.crs())

for f in layer.getFeatures():
    create_points(f,writer)

del writer

Select the input layer, and run it in the python console paying attention to change the 'num_points' field name and output file name to match your data

Tested only on QGIS Version 2.18