The pilgrim should recite Takbir as often as possible . The Takbir should be recited until after Asr on the 13th of Dhul Hijjah, specially after the Fard prayers.”
Though this post does not strictly present a Supplication it is still tagged as one to enable easy organisation and access
Ref
“Getting the Best out of Al-Hajj (Pilgrimage)”, By Abu Muneer Ismail Davids, Published by Darussalam, Second Edition – August, 2006, Chapter 6, pg 325 [10004]