- #1

timothychoi

- 5

- 0

can find a formula

L(r, c) = 1/(c * binom(r - 1, c - 1))

where L(r, c) is the entry in the harmonic triangle and the

binom() is the usual binomial notation (or the entry from

Pascal triangle). I tried to prove the assertion using indunction

on n, then I was not able to finish. Can someone prove

the assertion using induction on n? Only the last step, that

is assuming that

L(k, c) = 1/(c * binom(k - 1, c - 1))

and showing that

L(k + 1, c) = 1/(c * binom((k + 1) - 1, c - 1)),

will be sufficient. Thank you.