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...