A number, t, is a triangular number if [-1 + sqrt(1+8t)]/2 is an integer.That is equivalent to the requirement that 1+8t is the square of an odd integer.
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Is 63 a triangular number I think it is a triangular number.
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No, 18 is not a triangular number.
No, 35 is not a triangular number.
No, 53 is not a triangular number.