Recent content by robimaru

yes but what am i going to do in the proof?

aw the proof that we made seems wrong. i'm afraid that we may fail the subject if we don't have the proof. i tried to contact the author of the article but he didn't respond. using induction, x^n+ y^n=(x+y)^n+ ∑_(k=0)^⌊n/2⌋▒〖(-1)〗^k [((n-k)¦k) + ((n-k-1)¦(k-1)) ] (xy)^k (x+y)^(n-2k) how can...

thank you sir! that is the middle term of the expansion. I'm almost done with the proof. i did the induction and it came up well.. my only problem now is on how to evaluate the first term inside the summation part. is there a property of summation that says that when the upper limit is...

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...