A338628 -id:A338628 - cp's OEIS frontend

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

Ilya Gutkovskiy, Oct 26 2022

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

			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.

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

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

A358634 a(n) is the smallest number k such that n consecutive integers starting at k have the same number of n-gonal divisors.

Original entry on oeis.org

55, 844, 16652, 844529772, 243636414, 36289272509

Offset: 3

Ilya Gutkovskiy, Nov 24 2022

			16652 has 2 pentagonal divisors {1, 92}, 16653 has 2 pentagonal divisors {1, 5551}, 16654 has 2 pentagonal divisors {1, 22}, 16655 has 2 pentagonal divisors {1, 5}, and 16656 has 2 pentagonal divisors {1, 12}. These are the first 5 consecutive numbers with the same number of pentagonal divisors, so a(5) = 16652.

Eric Weisstein's World of Mathematics, Polygonal Number
Index entries for sequences related to divisors of numbers

Cf. A006558, A338628, A358044.

a(6)-a(8) from Martin Ehrenstein, Dec 04 2022

cp's OEIS Frontend

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

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