will be seen that the sum of the entries in the jth row
each entry in the jth row ( j = or > 2 ) is the sum of the
entries in the (j-1)th row,that appear directly above and to
the left of
the given entry. For example 7, in the 3rd row,
is the sum of 2,3 and 2 from
the 2nd row. Blank spaces above
an entry are assumed to be occupied by
It is conjectured that these ideas may be generalized to the nth
We all know that the entries in the 2nd order triangle
the coefficients in binomial expansions. What about the
cents in the 3rd and higher order cases ?
Perhaps these should
be called Pascal's Nth Order Trapezoids ?