A358044 a(n) is the smallest number k such that n consecutive integers starting at k have the same number of triangular divisors (A007862).

1, 1, 55, 5402, 2515069

Offset: 1

Author

Ilya Gutkovskiy, Oct 26 2022

Keywords

• nonn
• more
• hard

Comments

Any subsequent terms are > 10^10. - Lucas A. Brown, Jan 06 2023

Examples

			55 has 2 triangular divisors {1, 55}, 56 has 2 triangular divisors {1, 28} and 57 has 2 triangular divisors {1, 3}. These are the first 3 consecutive numbers with the same number of triangular divisors, so a(3) = 55.
		

Links

• Index entries for sequences related to divisors of numbers
• Lucas A. Brown, Python program.

Crossrefs

Cf. A000217, A006558, A007862, A045983, A045984, A324593, A324594, A338628.