this greenness extraction can we achieve by calculate each band of landsat with the formula (-0.3344*b2) - (0.3544*b3) - (0.4556*b4) + (0.6966 *b5) - (0.0242*b6) - (0.2630*b7) (try this formula from
Earth and Planetary Sciences » Oceanography and Atmospheric Sciences » "Climate Change - Research and Technology for Adaptation and Mitigation", book edited by Juan Blanco and Houshang Kheradmand, ISBN 978-953-307-621-8, Published: September 6, 2011 under CC BY-NC-SA 3.0 license
in page 124-125) Of course the parameter which is given is related to author's region (The geographical area of interest is the Kura River basin in Saylan district of Azerbaijan).
The original image with color combination 654

