Wiktionary
reckoning upon
vb. (present participle of reckon upon English)
Usage examples of "reckoning upon".
Therefore, although he had not given up all hope of finding proofs of Deroulede's treason, although by the latter's attitude he remained quite convinced that such proof did exist, he was already reckoning upon the cat's paw, the sop he would offer to that Cerberus, the Committee of Public Safety, in exchange for his own exculpation in the matter.