sum of consecutive triangular numbers is a square
Max Alekseyev
maxale at gmail.com
Sat Feb 24 12:53:54 CET 2007
SeqFan,
Is anybody interested in extending and/or submitting the following sequences?
The numbers k such that there exist k consecutive triangular numbers
whose sum is a square:
1, 2, 3, 4, 11, 13, 22, 23, 25, 27, 32, 37, 39, 46, 47, 48, 49, 50,
52, 59, 66, 71
The numbers k such that there exist unique k consecutive triangular
numbers whose sum is a square:
32, 50
The starting indices of the triangular numbers in the sums above:
26, 26
The square root of the sums above:
172, 265
Max
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