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

3,1

Comments

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

Links

Table of n, a(n) for n=3..11.

Lucas A. Brown, Python program.

Eric Weisstein's World of Mathematics, Centered Polygonal Number

Index entries for sequences related to divisors of numbers

Example

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

Crossrefs

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

Sequence in context: A353106 A078230 A358364 * A304723 A273590 A187512

Adjacent sequences: A358538 A358539 A358540 * A358542 A358543 A358544

Keyword

nonn,more

Author

Ilya Gutkovskiy, Nov 21 2022

Extensions

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

Status

approved