A, B, C and D are triangular numbers.
A, B and C are always consecutive while D is their sum.
Determine (and explain as best as possible^{1}) how such sets of values are distributed across the number system.
^{1.} This can be explained in terms of a single variable expression.
The ordinal number x of a triangular number T
_{x }which is the sum of three consecutive triangular numbers can be found where
x = SQRT(3n
^{2} + 9n + 33/4)  (1/2)
such that x is an integer and n is the ordinal number T
_{n} of the first of the three consecutive triangular numbers.

Posted by Dej Mar
on 20091130 04:40:05 