[seqfan] Triangular numbers, such that the difference of theirs two (not-equal) largest prime factors is also (smaller) triangular number

[Alexander Povolotsky]

Hi,

Consider sequence(s?) of the triangular numbers, such that the
difference of theirs two (not-equal - with the exclusion for "factors"
of 1 ) largest prime (or 1 - only when it comes to deal with the
"factors" of 1 ) factors is producing also (but of course smaller)
triangular number

Going backwards (in descending order) I found one such (seems to be
finite 3 term) sequence

1, 6, 741

741 = 3*13*19;  19-13=6
    6 = 2*3;            3-2=1

Are there any other such sequences (and if such exist - are they all finite ?)

Regards,
Alexander R. Povolotsky