Problem 42: Coded triangle numbers
The n
th term of the sequence of triangle numbers is given by, tn
=
½n
(n
+1); so the first ten triangle numbers are:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
By converting each letter in a word to a number corresponding to its
alphabetical position and adding these values we form a word value. For example,
the word value for SKY is 19 + 11 + 25 = 55 = t
10. If the word value is a
triangle number then we shall call the word a triangle word.
Using words array of n
-length, how many are triangle words?
Test
{{test}}Console output