A358541 a(n) is the smallest number with exactly n divisors that are centered n-gonal numbers.

20, 325, 912, 43771, 234784, 11025, 680680, 9143308361, 2470852896

Offset: 3

Author

Ilya Gutkovskiy, Nov 21 2022

Keywords

• nonn
• more

Comments

Any subsequent terms are > 10^10. - Lucas A. Brown, Dec 24 2022

Examples

			a(5) = 912 because 912 has 5 centered pentagonal divisors {1, 6, 16, 76, 456} and this is the smallest such number.
		

Links

• Lucas A. Brown, Python program.
• Eric Weisstein's World of Mathematics, Centered Polygonal Number
• Index entries for sequences related to divisors of numbers

Crossrefs

Cf. A005179, A358539, A358540, A358544, A358545.

Extensions

a(10)-a(11) from Martin Ehrenstein, Dec 04 2022