i am working on my expository research about integer sequences and their relationship with the pascal's triangle using the Lockwood's identity. but unfortunately i can't provide a complete proof for the said identity. please help me. I've been working on it for months but still i can't do the proof. the equation is too long so maybe it would be okay if I'd just give the link? here it is: http://ms.appliedprobability.org/data/files/feature articles/43-3-6.pdf any help will be highly appreciated.