A375640 The smallest triangular number that begins a run of at least n consecutive triangular numbers with the same number of divisors.

1, 6, 6, 6, 3181503, 213118335, 21363375160, 83495980981, 595814595900153, 2153650189195351, 49340595918273751, 3380756271799042653, 13175529217290940503

Offset: 1

Author

Shyam Sunder Gupta, Aug 22 2024

Keywords

• nonn
• more
• hard

Examples

			a(4) = 6 because 6 is the smallest triangular number that begins a run of 4 consecutive triangular numbers (6, 10, 15, 21) with the same number of divisors, i.e. 4.
a(5) = 3181503 because 3181503 is the smallest triangular number that begins a run of 5 consecutive triangular numbers (3181503, 3184026, 3186550, 3189075, 3191601) with the same number of divisors, i.e. 24.
		

Crossrefs

Cf. A000217, A063440, A319037, A319038.