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Consecutive Triangles (Posted on 2009-11-29) Difficulty: 4 of 5
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 possible1) how such sets of values are distributed across the number system.

1. This can be explained in terms of a single variable expression.

See The Solution Submitted by brianjn    
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re(3): an observation | Comment 7 of 8 |
(In reply to re(2): an observation by Charlie)

I edited my prior comment to say "only when x is an integer..".

I agree that to find the integers in such a list would be extremely tedious.

  Posted by brianjn on 2009-11-30 19:20:52

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