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

1,3

Comments

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

Links

Table of n, a(n) for n=1..5.

Index entries for sequences related to divisors of numbers

Lucas A. Brown, Python program.

Example

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.

Crossrefs

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

Sequence in context: A119083 A037156 A116110 * A060204 A231783 A114049

Adjacent sequences: A358041 A358042 A358043 * A358045 A358046 A358047

Keyword

nonn,more,hard

Author

Ilya Gutkovskiy, Oct 26 2022

Status

approved